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 1-15 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
Wyświetlanie 1-15 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