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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:
Bound States of Fermions on 2d Lattice in a Dilute Limit
Autorzy:
Bąk, M.
Micnas, R.
Powiązania:
https://bibliotekanauki.pl/articles/2012890.pdf
Data publikacji:
2000-01
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
74.20.-z
03.65.Ge
71.10.Fd
Opis:
We examine extended bound states in a dilute limit of the extended Hubbard model on the two-dimensional square lattice. By solving exactly the two-body problem we have determined the binding energies, mobilities, and dispersion curves across the Brillouin zone for bound states of various symmetries. It turns out that the d-wave pairing is strongly favored by the nnn hopping and the intersite local pairs can have small effective masses, even in the case of strong binding.We have also found a possibility of extended s-$d_{x^{2}-y^{2}}$ mixing of the bound states.
Źródło:
Acta Physica Polonica A; 2000, 97, 1; 209-212
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Adiabatic Processes in Quantum Optics
Autorzy:
Stenholm, S.
Powiązania:
https://bibliotekanauki.pl/articles/2030475.pdf
Data publikacji:
2002-03
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
03.75.-b
42.60.Da
05.60.Gg
03.65.Ge
Opis:
This paper reviews the use of adiabatic approximations in quantum optics.The general principle is explained in terms of the Landau-Zener model and the recently developed stimulated Raman adiabatic passage scheme. The features characteristic of adiabatic evolution are extracted from these examples. Our recent work on adiabatic level preparation and cavity mode transfer of excitation is presented and discussed.
Źródło:
Acta Physica Polonica A; 2002, 101, 3; 425-435
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:
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
Tytuł:
Relativistic Paschen-Back Effect for the Two-Dimensional H-Like Atoms
Autorzy:
Poszwa, A.
Rutkowski, A.
Powiązania:
https://bibliotekanauki.pl/articles/1538608.pdf
Data publikacji:
2010-03
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
03.65.Pm
03.65.Ge
31.15.-p
68.65.Fg
Opis:
The classification of states based on good quantum numbers for the two-dimensional Coulomb problem is proposed. The first order magnetic energy corrections are calculated using exact field-free analytic solutions of the Dirac equation as a zero-order approximation.
Źródło:
Acta Physica Polonica A; 2010, 117, 3; 439-444
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:
Exact Solutions of Bose-Einstein Condensate in Linear Magnetic Field and Time-Dependent Laser Field
Autorzy:
Huang, W.
Mao, J.
Qiu, W.
Powiązania:
https://bibliotekanauki.pl/articles/1505312.pdf
Data publikacji:
2011-03
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
02.30.Jr
03.65.Ge
05.45.Yv
42.65.Tg
Opis:
A generalized G'/G-expansion method is extended to construct exact solutions for the Gross-Pitaevskii equation with weak bias magnetic and time-dependent laser fields. Many types of exact solutions including hyperbolic function solution, trigonometric function solution and rational exact solution with parameters are obtained. In addition, soliton solutions are found.
Źródło:
Acta Physica Polonica A; 2011, 119, 3; 294-297
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:
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:
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:
Exact Solutions and Light Bullet Soliton Solutions of the Two-Dimensional Generalized Nonlinear Schrödinger Equation with Distributed Coefficients
Autorzy:
Huang, W.
Mu, C.
Xu, Y.
Ding, B.
Powiązania:
https://bibliotekanauki.pl/articles/1399167.pdf
Data publikacji:
2013-10
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
02.30.Jr
03.65.Ge
05.45.Yv
42.65.Tg
Opis:
A generalized G'/G-expansion method is extended to construct exact solutions to the two-dimensional generalized nonlinear Schrödinger equation with distributed coefficients. Hyperbolic function solution, trigonometric function solution and rational exact solution with parameters are obtained. Selecting parameters and parameter functions properly, novel light bullet soliton solutions with or without the chirp are presented.
Źródło:
Acta Physica Polonica A; 2013, 124, 4; 622-625
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The Puzzle of the 0.7 Anomaly in Conductance of Quantum Point Contact Reexamined
Autorzy:
Figielski, T.
Powiązania:
https://bibliotekanauki.pl/articles/1399104.pdf
Data publikacji:
2013-11
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
73.23.Ad
73.61.Ey
72.25.-b
03.65.Ge
Opis:
A novel approach to the solution of the long-standing problem, called 0.7 anomaly in quantum point contact, is proposed. It is based on fundamental principles of quantum mechanics and can explain all main properties of the anomaly.
Źródło:
Acta Physica Polonica A; 2013, 124, 5; 841-842
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
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
Wyświetlanie 1-15 z 24

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