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Wyświetlanie 1-15 z 24
Tytuł:
Dirac-Deng-Fan Problem with Coulomb-Hulthen Tensor Interactions
Autorzy:
Ikot, A.
Hassanabadi, H.
Yazarloo, B.
Umo, M.
Zarrinkamar, S.
Powiązania:
https://bibliotekanauki.pl/articles/1203879.pdf
Data publikacji:
2014-08
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
03.65.Ge
03.65.Pm
03.65.Db
Opis:
The relativistic symmetries of the Dirac equation within the framework of spin and pseudospin symmetries is investigated for Deng-Fan potential including the Coulomb-like and Hulthen-type potential tensor interaction terms. The energy eigenvalues and the corresponding wave function are obtained using the parametric generalization of Nikiforov-Uvarov method. We have also reported some numerical results and figures to show the effect of the tensor interactions.
Źródło:
Acta Physica Polonica A; 2014, 126, 3; 656-662
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The Relativistic Transmission and Reflection Coefficients for Woods-Saxon Potential
Autorzy:
Yazarloo, B.
Mehraban, H.
Powiązania:
https://bibliotekanauki.pl/articles/1398910.pdf
Data publikacji:
2016-06
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
03.65.Nk
03.65.Ge
03.65.Pm
Opis:
The relativistic problem of spin-1/2 particles subject to the Woods-Saxon potential is investigated by using the functional analysis method. We obtain scattering and bound state solutions of the one-dimensional Dirac equation with the Woods-Saxon potential in terms of the Jacobi polynomials. We also calculated the transmission and reflection coefficients by using behavior of the wave functions at infinity.
Źródło:
Acta Physica Polonica A; 2016, 129, 6; 1089-1092
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Semiclassical Double-Inequality on Heisenberg Uncertainty Relation in 1D
Autorzy:
Bering, K.
Powiązania:
https://bibliotekanauki.pl/articles/1398911.pdf
Data publikacji:
2016-06
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
03.65.-w
03.65.Ge
03.65.Sq
Opis:
We prove a double-inequality for the product of uncertainties for position and momentum of bound states for 1D quantum mechanical systems in the semiclassical limit.
Źródło:
Acta Physica Polonica A; 2016, 129, 6; 1093-1099
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Simplified Solving Procedure for the One-Dimensional Schrodinger Equation with Asymmetrical Boundary Conditions
Autorzy:
Puszkarski, H.
Powiązania:
https://bibliotekanauki.pl/articles/2011047.pdf
Data publikacji:
1999-09
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
03.65.Ge
02.60.Lj
Opis:
We propose a new simplified procedure for finding the analytical solutions of the stationary one-dimensional Schrodinger equation, with asymmetric boundary conditions imposed on the equation. The essence of the method consists in expressing the general solution explicitly in terms of the boundary parameters in a form which, by itself, satisfies one of the boundary conditions involved; then, the other boundary condition gives straightforwardly the characteristic equation. This method may turn out to be beneficial with regard to the recently growing interest in one-dimensional quantum systems.
Źródło:
Acta Physica Polonica A; 1999, 96, 3-4; 327-331
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Effective Mass of Bound and Resonant Two-Electron Pairs in a Simple Cubic Lattice
Autorzy:
Bak, M.
Powiązania:
https://bibliotekanauki.pl/articles/1385287.pdf
Data publikacji:
2015-02
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
03.65.Ge
37.10.Jk
Opis:
Effective masses m* of bound 2-electron pairs on a simple cubic lattice were investigated within tUWJ model within symmetry channels. Linear increase of m* with |W| for intersite pairs and nonlinear behavior and sign change of m* in case of pairs with on-site component were found. |m*| turned out to be larger than twice free electron mass.
Źródło:
Acta Physica Polonica A; 2015, 127, 2; 290-292
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Bound states for pseudoharmonic potential of the Dirac equation with spin and pseudo-spin symmetry via Laplace transform approach
Autorzy:
Biswas, B.
Debnath, S.
Powiązania:
https://bibliotekanauki.pl/articles/1159233.pdf
Data publikacji:
2016-09
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
03.65.-w
03.65.Ge
03.65.Pm
Opis:
Bound state solutions of the Dirac equation for the pseudoharmonic potential with spin and pseudo-spin symmetry are studied in this paper. To obtain the exactly normalized bound state wave function and energy expressions we have used the Laplace transform approach.
Źródło:
Acta Physica Polonica A; 2016, 130, 3; 692-696
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Solutions of One-Dimensional Effective Mass Schrödinger Equation for PT-Symmetric Scarf Potential
Autorzy:
Zhang, A.
Shi, P.
Ling, Y.
Hua, Z.
Powiązania:
https://bibliotekanauki.pl/articles/1492765.pdf
Data publikacji:
2011-12
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
03.65.Fd
03.65.Ge
03.65.-w
Opis:
The one-dimensional effective mass Schrödinger equation for PT-symmetric Scarf potential is investigated. The analytical expressions of energy eigenvalue and corresponding wave function are presented. They are accomplished by using an appropriate coordinate transformation to map the transformed exactly solvable one-dimensional Schrödinger equation with constant mass into the position-dependent mass equation. In the computation, three different forms of mass distributions are considered.
Źródło:
Acta Physica Polonica A; 2011, 120, 6; 987-991
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Complete Analytical Solutions of the Mie-Type Potentials in N-Dimensions
Autorzy:
Agboola, D.
Powiązania:
https://bibliotekanauki.pl/articles/1493372.pdf
Data publikacji:
2011-09
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
03.65.-w
03.65.Fd
03.65.Ge
Opis:
The exact solutions of the N-dimensional Schrödinger equation with the Mie-type potentials are obtained. The energy levels are worked out and the corresponding wave functions are obtained in terms of the Laguerre polynomial. Some energy levels of some diatomic molecules are given using the modified Kratzer-type potential. The expectation values 〈$r^{-1}$〉 and 〈$r^{-2}$〉 and the virial theorem are also obtained in N-dimensions using the Hellmann-Feynman theorem. The ladder operators are also constructed for the Mie-type potentials in N-dimensions and the matrix elements of some operators r and r·d/dr are analytically obtained from the ladder operators. The general results reduce to the 3-dimensional case when N = 3.
Źródło:
Acta Physica Polonica A; 2011, 120, 3; 371-377
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Use of Bersons-Kulsh Form Factor of Short-Pulse Approximation in Rydberg-State Physics
Autorzy:
Parzyński, R.
Sobczak, M.
Powiązania:
https://bibliotekanauki.pl/articles/2035652.pdf
Data publikacji:
2003-01
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
32.80.Rm
03.65.Ge
Opis:
The experiments on high Rydberg states interacting with short electromagnetic pulses were hitherto mainly explained by using numerical integration of the time-dependent Schrödinger equation in a restricted state basis. In this study we apply a different approach based on the Bersons-Kulsh analytical form factor of the short-pulse approximation. This analytical approach is shown to well reproduce the recent experimental results and those of numerical integration of the time-dependent Schrödinger equation both in the case of terahertz half-cycle pulses and optical many-cycle pulses. This fact enables a recommendation of the analytical Bersons-Kulsh form factor as an alternative and efficient method of quantum calculations of electromagnetically induced Rydberg state redistribution.
Źródło:
Acta Physica Polonica A; 2003, 103, 1; 13-23
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
One-Dimensional versus Three-Dimensional Approaches to the Rydberg Wave Packet Dynamics
Autorzy:
Kopyciuk, T.
Parzyński, R.
Powiązania:
https://bibliotekanauki.pl/articles/2046881.pdf
Data publikacji:
2006-07
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
32.80.Rm
03.65.Ge
Opis:
We show that a one-dimensional approximation to a real three-dimensional atom offers good results for a selected group of the Rydberg states. It is demonstrated in the context of evolution of the Rydberg wave packets produced by the so-called half-cycle pulses.
Źródło:
Acta Physica Polonica A; 2006, 110, 1; 41-49
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Asymptotics of Resonances Induced by Point Interactions
Autorzy:
Lipovský, J.
Lotoreichik, V.
Powiązania:
https://bibliotekanauki.pl/articles/1030012.pdf
Data publikacji:
2017-12
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
03.65.Ge
03.65.Nk
02.10.Ox
Opis:
We consider the resonances of the self-adjoint three-dimensional Schrödinger operator with point interactions of constant strength supported on the set X={xₙ}_{n=1}^{N}. The size of X is defined by V_{X} = max_{π ∈ Π_{N}} ∑_{n=1}^{N} |xₙ - x_{π(n)}|, where Π_{N} is the family of all the permutations of the set {1,2,...,N}. We prove that the number of resonances counted with multiplicities and lying inside the disc of radius R behaves asymptotically linear W_{X}/πR + O(1) as R → ∞, where the constant W_{X} ∈ [0,V_{X}] can be seen as the effective size of X. Moreover, we show that there exist a configuration of any number of points such that W_{X}=V_{X}. Finally, we construct an example for N=4 with W_{X} < V_{X}, which can be viewed as an analogue of a quantum graph with non-Weyl asymptotics of resonances.
Źródło:
Acta Physica Polonica A; 2017, 132, 6; 1677-1682
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Pseudo-Orbit Expansion for the Resonance Condition on Quantum Graphs and the Resonance Asymptotics
Autorzy:
Lipovský, J.
Powiązania:
https://bibliotekanauki.pl/articles/1189973.pdf
Data publikacji:
2015-12
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
03.65.Ge
03.65.Nk
02.10.Ox
Opis:
In this note we explain the method how to find the resonance condition on quantum graphs, which is called pseudo-orbit expansion. In three examples with standard coupling we show in detail how to obtain the resonance condition. We focus on non-Weyl graphs, i.e. the graphs which have fewer resonances than expected. For these graphs we explain benefits of the method of "deleting edges" for simplifying the graph.
Źródło:
Acta Physica Polonica A; 2015, 128, 6; 968-973
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Exact Solution of Klein-Gordon with the Pöschl-Teller Double-Ring-Shaped Coulomb Potential
Autorzy:
Hassanabadi, H.
Ikot, A.
Zarrinkamar, S.
Powiązania:
https://bibliotekanauki.pl/articles/1204862.pdf
Data publikacji:
2014-08
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
03.65.Fd
03.65.Pm
03.65.Ca
03.65.Ge
Opis:
Analytical solution of the Klein-Gordon equation under the equal scalar and vector Pöschl-Teller double-ring-shaped Coulomb potentials is obtained. We have used the Nikiforov-Uvarov method in our calculations. The radial wave function in terms of the Laguerre polynomials is presented and the angular wave functions are expressed in terms of the Jacobi polynomials. We have also considered some special cases of the Pöschl-Teller double-ring-shaped Coulomb potential and represented the energy eigenvalues and the corresponding wave functions.
Źródło:
Acta Physica Polonica A; 2014, 126, 3; 647-651
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Commutative vs. Noncommutative Space Statistical Properties of Two-Dimensional Harmonic Oscillator in Magnetic Field
Autorzy:
Hassanabadi, H.
Derakhshani, Z.
Zarrinkamar, S.
Powiązania:
https://bibliotekanauki.pl/articles/1398656.pdf
Data publikacji:
2016-01
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
02.40.Gh
03.65.-w
03.65.Ge
03.65.Pm
Opis:
We consider the Schrödinger equation in presence of an external magnetic field in commutative and noncommutative spaces and by solving the equation in an exact analytical manner, report the statistical quantities of the system.
Źródło:
Acta Physica Polonica A; 2016, 129, 1; 3-7
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Engineering and Advanced Digitalization of Photonic Structures with Bound Field in the Continuum
Autorzy:
Prodanović, N.
Milanović, V.
Radovanović, J.
Powiązania:
https://bibliotekanauki.pl/articles/1795614.pdf
Data publikacji:
2009-10
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
11.30.Pb
03.65.Ge
42.25.Bs
Opis:
We describe a method for generation of complex optical potentials which support a bound state of the electric field in continuous part of the spectrum. It is based on deep analogy between quantum mechanical and electromagnetic phenomena and relies on the application of supersymmetric quantum mechanics to generate a smoothly varying complex optical potential, together with the corresponding electric field function for the (single) localized state. However, the obtained potential profile is generally a strongly oscillating function which requires additional processing to make it suitable for practical realization. With this goal in mind, i.e. the construction of a realizable photonic crystal with complex permittivity which supports one bound state in continuum, we have developed an original scheme of digital grading. It approximates the values of the complex relative permittivity in such manner that the final structure may be realized by assembling layers of homogeneous materials.
Źródło:
Acta Physica Polonica A; 2009, 116, 4; 607-610
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 24

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