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    Wyświetlanie 1-8 z 8
    Tytuł:
    Laguerre polynomial solutions of a class of initial and boundary value problems arising in science and engineering fields
    Autorzy:
    Gürbüz, B.
    Sezer, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/1061583.pdf
    Data publikacji:
    2016-07
    Wydawca:
    Polska Akademia Nauk. Instytut Fizyki PAN
    Tematy:
    02.30.Gp
    02.30.Hq
    02.70
    Opis:
    In this study, we consider high-order nonlinear ordinary differential equations with the initial and boundary conditions. These kinds of differential equations are essential tools for modelling problems in physics, biology, neurology, engineering, ecology, economy, astrophysics, physiology and so forth. Each of the mentioned problems are described by one of the following equations with the specific physical conditions: Riccati, Duffing, Emden-Fowler, Lane Emden type equations. We seek the approximate solution of these special differential equations by means of a operational matrix technique, called the Laguerre collocation method. The proposed method is based on the Laguerre series expansion and the collocation points. By using the method, the mentioned special differential equations together with conditions are transformed into a matrix form which corresponds to a system of nonlinear algebraic equations with unknown Laguerre coefficients, and thereby the problem is approximately solved in terms of Laguerre polynomials. In addition, some numerical examples are presented to demonstrate the efficiency of the proposed method and the obtained results are compared with the existing results in literature.
    Źródło:
    Acta Physica Polonica A; 2016, 130, 1; 194-197
    0587-4246
    1898-794X
    Pojawia się w:
    Acta Physica Polonica A
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On Generalized Landau Levels
    Autorzy:
    Krasoń, P.
    Milewski, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/1032409.pdf
    Data publikacji:
    2017-07
    Wydawca:
    Polska Akademia Nauk. Instytut Fizyki PAN
    Tematy:
    03.65.-w
    03.50.De
    02.30.Gp
    Opis:
    We consider the dispersion of energy levels for both standard and inverted quantum harmonic oscillators in the presence of a uniform electromagnetic field. For this analysis we use a solution of the corresponding eigenproblem in terms of the Kummer functions. We find a complete description of the energy levels for a particle of mass m and electric charge q subject to the action of a harmonic oscillator and simultaneous uniform magnetic and electric fields. We also analyze the effect of spin on energy levels for an electron.
    Źródło:
    Acta Physica Polonica A; 2017, 132, 1; 94-96
    0587-4246
    1898-794X
    Pojawia się w:
    Acta Physica Polonica A
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Green Function on a Quantum Disk for the Helmholtz Problem
    Autorzy:
    Benali, B.
    Boudjedaa, B.
    Meftah, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/1399173.pdf
    Data publikacji:
    2013-10
    Wydawca:
    Polska Akademia Nauk. Instytut Fizyki PAN
    Tematy:
    03.75.Lm
    03.65.Db
    02.30.Gp
    02.30.Sa
    Opis:
    In this work, we present a new result which concerns the derivation of the Green function relative to the time-independent Schrödinger equation in two-dimensional space. The system considered in this work is a quantal particle that moves in an axi-symmetric potential. At first, we have assumed that the potential V(r) to be equal to a constant $V_0$ inside a disk (radius a) and to be equal to zero outside the disk. We have used, to derive the Green function, the continuity of the solution and of its first derivative, at r=a (at the edge). Secondly, we have assumed that the potential V(r) is equal to zero inside the disk and is equal to $V_0$ outside the disk (the inverted potential). Here, also we have used the continuity of the solution and its derivative to obtain the associate Green function showing the discrete spectra of the Hamiltonian.
    Źródło:
    Acta Physica Polonica A; 2013, 124, 4; 636-640
    0587-4246
    1898-794X
    Pojawia się w:
    Acta Physica Polonica A
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Approximate Solutions of Schrödinger Equation under Manning-Rosen Potential in Arbitrary Dimension via SUSYQM
    Autorzy:
    Hassanabadi, H.
    Lu, L.
    Zarrinkamar, S.
    Liu, G.
    Rahimov, H.
    Powiązania:
    https://bibliotekanauki.pl/articles/1418113.pdf
    Data publikacji:
    2012-10
    Wydawca:
    Polska Akademia Nauk. Instytut Fizyki PAN
    Tematy:
    03.65.Ge
    02.30.Gp
    03.65.-w
    34.20.Cf
    Opis:
    The Schrödinger equation under the Manning-Rosen potential is solved in arbitrary dimension via the quantum mechanical idea of supersymmetry. The Pekeris approximation is used to overcome the inconsistency of the potential with the centrifugal term. Comments on the energy eigenvalue behavior versus dimension are included. The inter-dimensional degeneracy for various orbital quantum number l and dimensions D are studied. The expectation values of some physical parameters are reported via the Feynman-Hellmann theorem.
    Źródło:
    Acta Physica Polonica A; 2012, 122, 4; 650-654
    0587-4246
    1898-794X
    Pojawia się w:
    Acta Physica Polonica A
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On the Scattering of Neutron in the Magnetic Field οf 180° Bloch Wall
    Autorzy:
    Sazonov, S.
    Powiązania:
    https://bibliotekanauki.pl/articles/1538632.pdf
    Data publikacji:
    2010-03
    Wydawca:
    Polska Akademia Nauk. Instytut Fizyki PAN
    Tematy:
    03.65.Nk
    03.75.Be
    75.60.Ch
    02.30.Gp
    Opis:
    The exact solution of the Pauli equation has been derived for neutron wave propagating in magnetized continuum containing the magnetization non-uniformity such as the 180° Bloch wall, whose structure corresponds to the Landau-Lifshitz model. The scattering coefficients with and without neutron spin flip are presented as functions of ratio of neutron energy to the media's magnetic induction value. The possibility of narrow (≲100 Å) domain wall width measurement is discussed by the example of $YFe_{11}Ti$ alloy.
    Źródło:
    Acta Physica Polonica A; 2010, 117, 3; 449-453
    0587-4246
    1898-794X
    Pojawia się w:
    Acta Physica Polonica A
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    S-Wave Bound- and Resonant States of Two Fermions in Simple Cubic Lattice
    Autorzy:
    Bak, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/1431271.pdf
    Data publikacji:
    2012-04
    Wydawca:
    Polska Akademia Nauk. Instytut Fizyki PAN
    Tematy:
    02.30.Gp
    03.65.Ge
    31.15.ac
    71.10.Fd
    Opis:
    Resonant two-electron states are examined in attractive Hubbard model on simple cubic lattice and exact formula for scattering cross section in the limit of low density (empty lattice) is calculated. S-wave pair is considered by means of lattice Green functions (LGF). Analytical form of these functions found by Joyce is used facilitating calculations, which were greatly hindered before by the necessity of using LGF's tabulated values. It is found that the actual peak of scattering cross-section is formed on the lower band boundary in discrepancy with formulae of the theory of scattering in solids.
    Źródło:
    Acta Physica Polonica A; 2012, 121, 4; 808-811
    0587-4246
    1898-794X
    Pojawia się w:
    Acta Physica Polonica A
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Lattice Green Functions on a Two-Dimensional Rectangular Lattice with Next-Nearest Neighbor Interaction
    Autorzy:
    Bak, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/1537144.pdf
    Data publikacji:
    2010-08
    Wydawca:
    Polska Akademia Nauk. Instytut Fizyki PAN
    Tematy:
    02.30.Gp
    02.30.Uu
    02.60.Nm
    71.15.-m
    02.70.Hm
    71.10.Fd
    Opis:
    The analytic formula for the on-site Green function on the two-dimensional rectangular lattice is shown for arbitrary energy, both within the band (complex Green function) and outside the band (real Green function), expressed by means of elliptic integrals. The recursion formulae enabling calculation of the Green functions on other lattice sites are shown.
    Źródło:
    Acta Physica Polonica A; 2010, 118, 2; 386-388
    0587-4246
    1898-794X
    Pojawia się w:
    Acta Physica Polonica A
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Structure of Acoustic Field in Infrared Tellurium Based X-Y Deflector
    Autorzy:
    Trushin, A.
    Voloshinov, V.
    Powiązania:
    https://bibliotekanauki.pl/articles/1383248.pdf
    Data publikacji:
    2015-01
    Wydawca:
    Polska Akademia Nauk. Instytut Fizyki PAN
    Tematy:
    02.30.Nw
    02.60.Cb
    02.70.Hm
    43.20.Gp
    46.40.Cd
    46.15.-x
    Opis:
    Theoretical investigation of acoustic field in a tellurium two-coordinate deflector was carried out. We used angular spectrum method supported by consideration to boundary conditions in approximation of a given displacement to calculate spatial distribution of the acoustic field intensity. Volumetric illustration is presented for the acoustic beam launched from YZ face of the crystal. Cross-sections of the acoustic field generated from XZ face are also presented in the work. It is shown that the strong anisotropy of acoustic properties in the Te crystal leads to principally different structure of the two fields excited from the XZ and YZ crystal faces. The acoustic field excited from the XZ face may be considered as a simple beam with a relatively high divergence. On the other hand, the field generated from the YZ face looks like superposition of two beams with relatively low divergence. Ratio of intensities of the two beams generated by longitudinal piezotransducers is equal to the ratio predicted by analysis based by plane-wave theory.
    Źródło:
    Acta Physica Polonica A; 2015, 127, 1; 55-57
    0587-4246
    1898-794X
    Pojawia się w:
    Acta Physica Polonica A
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-8 z 8

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