Informacja

Drogi użytkowniku, aplikacja do prawidłowego działania wymaga obsługi JavaScript. Proszę włącz obsługę JavaScript w Twojej przeglądarce.

English (EN)·Polski (PL)·Yкраїнський (UK)
Przejdź do strony domowej biblioteki Centralna Biblioteka Wojskowa Link otwiera się w nowym oknie Logo biblioteki Prolib Integro - strona głównaCentralna Biblioteka Wojskowa

Wyszukujesz frazę "Schrödinger equation" wg kryterium: Temat

  Lista filtrów
Wyrównaj
    Wyświetlanie 1-21 z 21
    Tytuł:
    Dispersion estimates for spherical Schrödinger equations: the effect of boundary conditions
    Autorzy:
    Holzleitner, M.
    Kostenko, A.
    Teschl, G.
    Powiązania:
    https://bibliotekanauki.pl/articles/255331.pdf
    Data publikacji:
    2016
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    Schrödinger equation
    dispersive estimates
    scattering
    Opis:
    We investigate the dependence of the [formula] dispersive estimates for one-dimensional radial Schrödinger operators on boundary conditions at 0. In contrast to the case of additive perturbations, we show that the change of a boundary condition at zero results in the change of the dispersive decay estimates if the angular momentum is positive, l ∈ (0,1/2). However, for nonpositive angular momenta, l ∈ (—1/2,0], the standard [formula] decay remains true for all self-adjoint realizations.
    Źródło:
    Opuscula Mathematica; 2016, 36, 6; 769-786
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Initial value problem for the time-dependent linear Schrodinger equation with a point singular potential by the unified transform method
    Autorzy:
    Rybalko, Y.
    Powiązania:
    https://bibliotekanauki.pl/articles/255033.pdf
    Data publikacji:
    2018
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    Fokas unified transform method Schrodinger equation
    interface problem
    Opis:
    We study an initial value problem for the one-dimensional non-stationary linear Schrodinger equation with a point singular potential. In our approach, the problem is considered as a system of coupled initial-boundary value (IBV) problems on two half-lines, to which we apply the unified approach to IBV problems for linear and integrable nonlinear equations, also known as the Fokas unified transform method. Following the ideas of this method, we obtain the integral representation of the solution of the initial value problem.
    Źródło:
    Opuscula Mathematica; 2018, 38, 6; 883-898
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    New optical solitary waves for unstable Schrödinger equation in nonlinear medium
    Autorzy:
    Zhou, Qin
    Rezazadeh, Hadi
    Korkmaz, Alper
    Eslami, Mostafa
    Mirzazadeh, Mohammad
    Rezazadeh, Mohammadreza
    Powiązania:
    https://bibliotekanauki.pl/articles/173644.pdf
    Data publikacji:
    2019
    Wydawca:
    Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
    Tematy:
    solitons
    new extended direct algebraic method
    unstable Schrödinger equation
    Opis:
    In this paper and for the first time, we describe and introduce a new extended direct algebraic method which is a new method for solving nonlinear partial differential equations arising in nonlinear optics and nonlinear science. By applying this method, we have constructed new solitary wave solutions for the unstable Schrödinger equation. A large family of traveling wave type exact solutions covering exponential, generalized trigonometric, rational and generalized hyperbolic functions to this equation is determined. The solutions are expressed in explicit forms.
    Źródło:
    Optica Applicata; 2019, 49, 1; 135-150
    0078-5466
    1899-7015
    Pojawia się w:
    Optica Applicata
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Global well-posedness and scattering for the focusing nonlinear Schrödinger equation in the nonradial case
    Autorzy:
    Han, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/254861.pdf
    Data publikacji:
    2012
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    critical energy
    focusing Schrodinger equation
    global well-posedness
    scattering
    Opis:
    The energy-critical, focusing nonlinear Schrödinger equation in the nonradial case reads as follows: [formula]. Under a suitable assumption on the maximal strong solution, using a compactness argument and a virial identity, we establish the global well-posedness and scattering in the nonradial case, which gives a positive answer to one open problem proposed by Kenig and Merle [Invent. Math. 166 (2006), 645-675].
    Źródło:
    Opuscula Mathematica; 2012, 32, 3; 487-504
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Quaternions and Cauchy Classical Theory of Elasticity
    Autorzy:
    Danielewski, Marek
    Sapa, Lucjan
    Powiązania:
    https://bibliotekanauki.pl/articles/175624.pdf
    Data publikacji:
    2020
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    wave mechanics
    quaternions
    Cauchy model
    elastic solid
    Schrödinger equation
    Opis:
    Developed by French mathematician Augustin-Louis Cauchy, the classical theory of elasticity is the starting point to show the value and the physical reality of quaternions. The classical balance equations for the isotropic, elastic crystal, demonstrate the usefulness of quaternions. The family of wave equations and the diffusion equation are a straightforward consequence of the quaternion representation of the Cauchy model of the elastic solid. Using the quaternion algebra, we present the derivation of the quaternion form of the multiple wave equations. The fundamental consequences of all derived equations and relations for physics, chemistry, and future prospects are presented.
    Źródło:
    Advances in Manufacturing Science and Technology; 2020, 44, 2; 67-70
    0137-4478
    Pojawia się w:
    Advances in Manufacturing Science and Technology
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On the maximal operator associated with the free Schrödinger equation
    Autorzy:
    Wang, Sichun
    Powiązania:
    https://bibliotekanauki.pl/articles/1220332.pdf
    Data publikacji:
    1997
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    free Schrödinger equation
    maximal functions
    spherical harmonics
    oscillatory integrals
    Opis:
    For d > 1, let $(S_{d}f)(x,t) = ʃ_{ℝ^n} e^{ix·ξ} e^{it|ξ|^d} f̂(ξ)dξ$, $x ∈ ℝ^n$, where f̂ is the Fourier transform of $f ∈ S (ℝ^n)$, and $(S_{d}*f)(x) = sup_{0 < t < 1} |(S_{d}f)(x,t)|$ its maximal operator. P. Sjölin ([11]) has shown that for radial f, the estimate (*) $(\int_{|x| < R} |(S_{d}*f)(x)|^p dx)^{1//p} ≤ C_{R}∥f∥_{H_{1//4}}$ holds for p = 4n//(2n-1) and fails for p > 4n/(2n-1). In this paper we show that for non-radial f, (*) fails for p > 2. A similar result is proved for a more general maximal operator.
    Źródło:
    Studia Mathematica; 1997, 122, 2; 167-182
    0039-3223
    Pojawia się w:
    Studia Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Analytical solutions of Schrödinger equation with new solvable potential family V(r)=A/r^2-B/r+Cr^(δ+1) via Nikiforov-Uvarov (NU) method
    Autorzy:
    Antia, Akaninyene Daniel
    Akpan, Ita Okon
    Ikot, Akpan Ndem
    Maghsoodi, Elham
    Zarrinkamar, Saber
    Hassanabadi, Hassan
    Powiązania:
    https://bibliotekanauki.pl/articles/763317.pdf
    Data publikacji:
    2015
    Wydawca:
    Uniwersytet Marii Curie-Skłodowskiej. Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
    Tematy:
    Schrödinger equation
    Energy eigenvalue
    Eigenfunction
    Diatomic molecules
    Hellmann-Feynmann theorem
    Opis:
    In this paper, we have presented the exact solutions of the Schrödinger equation with the family of potentials V(r)=A/r^2-B/r+Cr^(δ+1). We have obtained the energy eigenvalues and the corresponding wave functions expressed in terms of the associated Laguerre polynomials for  using the Nikiforov-Uvarov (NU) method. The energy levels for each case is computed for diatomic molecules H2, CO, NO and N2  for various values of and . We have also computed the expectation values of, and the Virial theorem using the Hellmann-Feynmann theorem (HFT).
    Źródło:
    Annales Universitatis Mariae Curie-Skłodowska, sectio AAA – Physica; 2015, 70
    0137-6861
    Pojawia się w:
    Annales Universitatis Mariae Curie-Skłodowska, sectio AAA – Physica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Controllable propagation of Pearcey–Gaussian beams in photorefractive media with fractional Schrödinger equation
    Autorzy:
    Guo, Teng
    Gao, Ru
    Ren, Shumin
    Wang, Pengxiang
    Xiao, Yan
    Powiązania:
    https://bibliotekanauki.pl/articles/2172852.pdf
    Data publikacji:
    2022
    Wydawca:
    Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
    Tematy:
    Pearcey-Gaussian beam
    fractional Schrödinger equation
    photorefractive medium
    breathing soliton
    Opis:
    Taking the fractional Schrödinger equation as the theoretical model, the evolution behavior of the Pearcey–Gaussian beam in the photorefractive medium is studied. The results show that breathing solitons are generated when the nonlinear effect and the diffraction effect are balanced with each other. Nonlinear coefficients, Lévy index and beams amplitude affect breathing period of the soliton and maximum peak intensity. Within a certain range, the breathing period of the soliton decreases with the increase of the nonlinear coefficient and the Lévy index. However when the beams amplitude increases, the breathing period and the maximum peak intensity of the soliton increase. Under the photorefractive effect, due to the bidirectional self-acceleration property of the Pearcey beam, the solitons formed will propagate vertically. These properties can be used to manipulate the beam and have potential applications in optical switching, plasma channeling, particle manipulation, etc.
    Źródło:
    Optica Applicata; 2022, 52, 4; 627--638
    0078-5466
    1899-7015
    Pojawia się w:
    Optica Applicata
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Controllabilty and stability analysis on a group associated with Black-Scholes equation
    Autorzy:
    Tiwari, Archana
    Bhattacharyya, Debanjana
    Pati, K. C.
    Powiązania:
    https://bibliotekanauki.pl/articles/229513.pdf
    Data publikacji:
    2020
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    Black-Scholes equation
    Schrödinger equation
    Lie group
    optimal control
    stability
    numerical integration
    Opis:
    In this paper we have studied the driftless control system on a Lie group which arises due to the invariance of Black-Scholes equation by conformal transformations. These type of studies are possible as Black-Scholes equation can be mapped to one dimensional free Schrödinger equation. In particular we have studied the controllability, optimal control of the resulting dynamics as well as stability aspects of this system. We have also found out the trajectories of the states of the system through two unconventional integrators along with conventional Runge-Kutta integrator.
    Źródło:
    Archives of Control Sciences; 2020, 30, 3; 553-573
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Methods of mathematical quantum theory in selected economic models
    Autorzy:
    Schlichtinger, Agnieszka Matylda
    Powiązania:
    https://bibliotekanauki.pl/articles/584928.pdf
    Data publikacji:
    2018
    Wydawca:
    Wydawnictwo Uniwersytetu Ekonomicznego we Wrocławiu
    Tematy:
    Hilbert space
    quaternions
    quaternionic quantum mechanics
    Schrödinger equation
    regression
    expected utility
    Opis:
    The issue of using the physical method in economics is no longer an innovative idea. However, nowadays the methods of mathematical quantum mechanics are also applied to economic sciences. This is the natural result of the fact that as applicable in quantum mechanics, mathematical spaces and tools turn out to be useful in other fields of science. Then it is possible to assume that the problem of the choice of the space is a universal question that is associated not only with mathematics and physics but also with economics or social sciences. In this paper the author considers various formulations of Hilbert space in relation to finite-dimensional quantum mechanics which constitutes a fundament to also apply my outcomes in economics. On the basis of mathematical considerations the author puts forward the hypothesis that the complex Hilbert space is characterized with numerous advantages in relation to its real and quaternionic alternatives.
    Źródło:
    Mathematical Economics; 2018, 14(21); 95-106
    1733-9707
    Pojawia się w:
    Mathematical Economics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Modulational instability of obliquely interacting capillary-gravity waves over infinite depth
    Autorzy:
    Manna, S.
    Dhar, A. K.
    Powiązania:
    https://bibliotekanauki.pl/articles/38629088.pdf
    Data publikacji:
    2021
    Wydawca:
    Instytut Podstawowych Problemów Techniki PAN
    Tematy:
    nonlinear Schrödinger equation
    crossing sea states
    capillary-gravity waves
    modulational instability
    Opis:
    Two coupled time-dependent two dimensional nonlinear Schrödinger equations have been derived using multiscale expansion for two nonlinearly interacting capillary-gravity waves over an infinite depth of water. These equations are then utilised to discuss the modulational (Benjamin-Feir) instability of two Stokes wavetrains due to unidirectional and bidirectional perturbations. It is found from the graphs and the three-dimensional contour plots that the rate of growth of instability for two wave packets interacting obliquely is higher than the instance of modulation of one wave packet. We have likewise examined the influence of capillarity on modulational instability.
    Źródło:
    Archives of Mechanics; 2021, 73, 5-6; 583-598
    0373-2029
    Pojawia się w:
    Archives of Mechanics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Propagation of solitary wave in non-uniform fiber system with high-order nonlinear effects
    Autorzy:
    Xiao, Y.
    Zhang, J.
    Zhang, L.
    Powiązania:
    https://bibliotekanauki.pl/articles/173308.pdf
    Data publikacji:
    2018
    Wydawca:
    Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
    Tematy:
    solitary wave
    coupled higher-order nonlinear Schrödinger equation
    high-order nonlinear effect
    Opis:
    The ultra-short pulse propagation in a non-uniform fiber system is investigated based on the variable coefficient coupled higher-order nonlinear Schrödinger equation with the dispersion gain and nonlinear gain terms. By using the ansatz method and the split-step Fourier method, we get the exact solitary wave solution, with which the transmission process of the solitary wave is studied. Furthermore we obtain the stability of the solitary wave under finite initial perturbations. The interaction between two neighboring solitary waves is also studied.
    Źródło:
    Optica Applicata; 2018, 48, 2; 273-284
    0078-5466
    1899-7015
    Pojawia się w:
    Optica Applicata
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Existence and uniqueness of the solution to the optimal control problem with integral criterion over the entire domain for a nonlinear Schrödinger equation with a special gradient term
    Autorzy:
    Salmanov, Vuqar
    Powiązania:
    https://bibliotekanauki.pl/articles/2050054.pdf
    Data publikacji:
    2020
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    Schrödinger equation
    optimal control problem
    first variation of the functional
    complex potential
    Opis:
    The paper concerns the optimal control problem with the full-range integral performance criterion for the nonlinear Schrödinger equation with the specific gradient summand and the complex potential when the performance criterion is the full-range integral. In this paper, the existence and uniqueness theorems regarding the solution of the optimal control problem under consideration are proven.
    Źródło:
    Control and Cybernetics; 2020, 49, 3; 277-290
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Numerical simulation of coupled quantum dots
    Autorzy:
    Machowska-Podsiadło, E.
    Mączka, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/378437.pdf
    Data publikacji:
    2006
    Wydawca:
    Sieć Badawcza Łukasiewicz - Instytut Technologii Elektronowej
    Tematy:
    kropki kwantowe
    równanie Poissona
    równanie Schrodingera
    LDA
    symulacja numeryczna
    quantum dots
    Poisson equation
    Schrödinger equation
    numerical simulation
    Opis:
    In the work we present self-consistent solutions of Poisson and Schrödinger equations which describe electron states in coupled quantum dots. Results for two neighbouring quantum dots formed in an electrostatic way are discussed. Zero-dimensional electron gas is investigated in the structure proposed by Kastner [1] and presented in our earlier works [2-4]. In the work results of simulations performed in three- and two-dimensional space are shown. We included Hartree potential for modeling Coulomb interactions among electrons in the system. We also considered the exchange and correlation potentials which ensured that each discrete energy level was occupied by only one electron. The exchange and correlation potentials were taken into account with the help of the Local Density Approximation (LDA).
    Źródło:
    Electron Technology : Internet Journal; 2005-2006, 37/38, 13; 1-4
    1897-2381
    Pojawia się w:
    Electron Technology : Internet Journal
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Electron dynamics in a strong laser field with Gaussian Potential well
    Autorzy:
    Gunatilaka, C. C.
    Gamalath, K. A. I. L. Wijewardena
    Powiązania:
    https://bibliotekanauki.pl/articles/1191504.pdf
    Data publikacji:
    2016
    Wydawca:
    Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
    Tematy:
    Helium-Neon
    Ti-Sapphire
    time dependant Schrodinger equation
    Strong laser field
    Gaussian potential well
    Argon
    Opis:
    The time dependant Schrodinger equation was solved for one dimensional and two dimensional Gaussian potential wells in the presence of a strong laser field. Three laser fields Argon, Helium-Neon and Ti-Sapphire with different intensities with cosine and sine laser electric fields were used for the simulation. The Gaussian potential well get distorted in two different ways with the intensity change and the wavelength change of the laser. The wave functions and the position probabilities are presented. The Gaussian potential distortion for He-Ne laser occur in the opposite way compared to Ar and Ti-Sapphire for cosine electric field while Ar laser behaves differently than He-Ne and Ti-Sapphire for sine electric field of the laser in the case of two dimensional potential.
    Źródło:
    World Scientific News; 2016, 40; 264-283
    2392-2192
    Pojawia się w:
    World Scientific News
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    To the synthesis of classical and quantum physic
    Autorzy:
    Etkin, V. A.
    Powiązania:
    https://bibliotekanauki.pl/articles/1177473.pdf
    Data publikacji:
    2018
    Wydawca:
    Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
    Tematy:
    Schrödinger equation
    nonequilibrium thermodynamics
    photoeffect
    quantum machanics
    quantums of light
    radiation laws
    spectral series
    wave as quantum
    Opis:
    The possibility has been validated to adjust fundamental differences between classical mechanics and quantum mechanics from the position of the wave theory of matter structure. A derivation of the Planck radiation law has been offered proceeding from the assumption the wave is a true quantum of radiation. The principles of photoeffect have been explained from the positions of classical phisycs and supplemented with consideration of the photoelectric yield. The law of forming spectral series has been obtained with no involvement of quantum numbers and no assumption of electron orbit-to-orbit transition. A deterministic derivation of the Schrödinger stationary wave equation has been given as excluding the necessity of its probability interpretation. The possibility has been shown to construct in unified manner mechanics of macro- and microprocesses considering discretness of wave processes.
    Źródło:
    World Scientific News; 2018, 102; 101-115
    2392-2192
    Pojawia się w:
    World Scientific News
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Efficient computation of the MCTDHF approximation to the time-dependent Schrodinger equation
    Autorzy:
    Koch, O.
    Powiązania:
    https://bibliotekanauki.pl/articles/255895.pdf
    Data publikacji:
    2006
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    multi-configuration time-dependent Hartree-Fock method
    time-dependent multi-particle Schrodinger equation
    Coulomb potential
    finite elements
    Opis:
    We discuss analytical and numerical properties of the multi-configuration time-dependent Hartree-Fock method for the approximate solution of the time-dependent multi-particle (electronic) Schrödinger equation which are relevant for an efficient implementation of this model reduction technique. Particularly, we focus on a discretization and Iow rank approximation in the evaluation of the meanfield terms occurring in the MCTDHF equations of motion, which is crucial for the computational tractability of the problem. We give error bounds for this approximation and demonstrate the achieved gain in performance.
    Źródło:
    Opuscula Mathematica; 2006, 26, 3; 483-497
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Theoretical analysis on experiments in transformation of deep-water-waves
    Autorzy:
    Wilde, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/241349.pdf
    Data publikacji:
    2005
    Wydawca:
    Polska Akademia Nauk. Instytut Budownictwa Wodnego PAN
    Tematy:
    water wave
    stability
    transformation
    wave groups
    non-linear Schrödinger differential equation
    Opis:
    The aim of the paper is to discuss the usefulness of the non-linear Schrödinger differential equation in the study of transformations of progressive deep water waves. Its solution compared with a regular Stokes type wave is essentially restricted to the first order approximation of the second one. The difference is that the Schrödinger equation introduces the concepts of a carrier wave and complex amplitude. In this way the dispersion relation of the third order Stokes expansion is taken into account. The analysis starts with regular, non breaking Stokes waves with large amplitudes as measured in our laboratory. The third order approximation is considered and compared with the corresponding solution of the Schrödinger equation. Then small periodic modifications are introduced in the time series fed into the control system of the generator. The approximation by trigonometric series is applied and the simplified analysis of superposition of very small modifications is used (higher powers of modifications are neglected). The Schrödinger non-linear equation is used in this analysis. The comparison of experimental and calculated envelopes is good, but for the surface elevations in space it is not as good. The approximation by trigonometric series is also applied to study the case of larger modifications. Finally the solutions of the Schrödinger equation corresponding to perfect solitons, are compared with the experimental data for cases where the measured surface elevations look almost like periodic solitons. This gives a reasonable approximation of the real behaviour in a very short space interval. It is not easy to get a good numerical description for the wave problem discussed as the waves are physically unstable. The results of the presented research will be used to establish an effective numerical procedure, stress the approximations introduced by the application of the Schrödinger differential equation and show how the theoretical solutions should be compared with the measured data.
    Źródło:
    Archives of Hydro-Engineering and Environmental Mechanics; 2005, 52, 3; 213-242
    1231-3726
    Pojawia się w:
    Archives of Hydro-Engineering and Environmental Mechanics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Cubic nonlinear fractional Schrödinger equation with conformable derivative and its new travelling wave solutions
    Autorzy:
    Gündoğdu, Hami
    Gözükızıl, Ömer Faruk
    Powiązania:
    https://bibliotekanauki.pl/articles/1839843.pdf
    Data publikacji:
    2021
    Wydawca:
    Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
    Tematy:
    cubic nonlinear fractional Schrödinger equation
    travelling wave solutions
    kink solution
    soliton solution
    równanie różniczkowe zwyczajne
    roztwór solitonu
    równanie Schrödingera
    fale biegnące
    Opis:
    In the present paper, the fractional-order cubic nonlinear Schrödinger equation is considered. The Schrödinger equation with time and space fractional derivative is studied at the same time. Different types of travelling wave solutions including the kink solution, soliton solution, periodic solution, and singular solution for the mentioned equation are obtained by using the Jacobi elliptic functions expansion method. It is shown that the solutions turn into the exact solutions when the fractional orders go to 1. This method can be relied on gaining the solutions to time or space fractional order partial differential equations as well as ordinary ones. Throughout this work, the fractional derivative is given in a conformable sense.
    Źródło:
    Journal of Applied Mathematics and Computational Mechanics; 2021, 20, 1; 29-41
    2299-9965
    Pojawia się w:
    Journal of Applied Mathematics and Computational Mechanics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    An Axiomatic Approach to Quantum Mechanics
    Autorzy:
    Rajakaruna, M. A. I. S.
    Wijewardena Gamalath, K. A. I. L.
    Powiązania:
    https://bibliotekanauki.pl/articles/1076342.pdf
    Data publikacji:
    2019
    Wydawca:
    Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
    Tematy:
    Du Bois Raymond Lemma
    Fisher Information
    Quantum Mechanics
    Schrödinger’s Wave Equation
    Variational Principle
    Opis:
    We have shown that the Schrödinger wave equation can be explained and derived from fundamental postulates that are based on the conservation of probability, significance of measurements at infinity and nature’s tendency of maintaining a system as unbiased as possible. As a reasonable measure for the local randomness, Fisher information is considered. The presented approach provides an axiomatic derivation for the Schrödinger wave equation, avoiding imperfect models borrowed from classical mechanics such as direct application of the energy conservation, statistical mechanics or vibrating string models.
    Źródło:
    World Scientific News; 2019, 116; 209-221
    2392-2192
    Pojawia się w:
    World Scientific News
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Strzałka czasu a niektóre interpretacje mechaniki kwantowej
    Time Arrow and Some Interpretations Of Quantum Mechanics
    Autorzy:
    Łagosz, Marek
    Powiązania:
    https://bibliotekanauki.pl/articles/2013391.pdf
    Data publikacji:
    2006
    Wydawca:
    Katolicki Uniwersytet Lubelski Jana Pawła II. Towarzystwo Naukowe KUL
    Tematy:
    strzałka czasu
    EPR-eksperyment
    równanie Schrödingera
    (a)symetria czasowa
    niezmienniczość względem odwrócenia czasu
    pomiar kwantowy
    parametry ukryte
    time arrow
    EPR-experiment
    Schrödinger’s equation
    time (a)symetry
    time- reversal invariance
    quantal measurements
    “hidden variables”
    Opis:
    In the paper I discuss some premises of “quantum mechanics” with regard to the thesis that the time arrow does (not) exist. In this context I consider above all the famous Einstein-Podolsky-Rosen’s experiment (EPR-experiment). I also indicate Schrödinger’s interpretation of wave function “symmetrical” towards time (nomological isotropy) and the peculiar understanding of the pair particle-antiparticle, assuming that the direction of time can be reversed. Eventually, I discuss the issue of measurement in quantum mechanics with which the existence of time arrow (anisotropy) is often linked. If it comes to the interpretations of quantum mechanics, from the point of which I consider the issues in question, then in principle I limit myself to two: the so-called Copenhagen interpretation and David Bohm’s conception of “hidden parameters.” I arrive at a conclusion that the premises of quantum mechanics that are at issue here cannot be sufficient grounds for a conclusive recognition of the reversibility (non-existence) of time arrow.
    Źródło:
    Roczniki Filozoficzne; 2006, 54, 2; 391-411
    0035-7685
    Pojawia się w:
    Roczniki Filozoficzne
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-21 z 21

      Ta witryna wykorzystuje pliki cookies do przechowywania informacji na Twoim komputerze. Pliki cookies stosujemy w celu świadczenia usług na najwyższym poziomie, w tym w sposób dostosowany do indywidualnych potrzeb. Korzystanie z witryny bez zmiany ustawień dotyczących cookies oznacza, że będą one zamieszczane w Twoim komputerze. W każdym momencie możesz dokonać zmiany ustawień dotyczących cookies