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Chinese Physics B 2009年第9期18卷 3663-3669页

作者：卫高峰陈文利王红英李院院 Department of Physics Xi'an University of Arts and Science Faculty of Science Xi'an University of Architecture and Technology

This paper finds the approximate analytical scattering state solutions of the arbitrary 1-wave Schrodinger equation for the generalized Hulthen potential by taking an improved new approximate scheme for the centrifugal term. The normalized analytical radial wave functions of the 1-wave SchrSdinger equation for the generalized Hulthen potential are presented and the corresponding calculation formula of phase shifts is derived. Some useful figures are plotted to show the improved accuracy of the obtained results and two special cases for the standard Hulthen potential and Woods-Saxon potential are also studied briefly.

关键词： generalized Hulthen potential scattering states approximate analytical solutions

Approximate Analytical Solutions for scattering states of D-dimensional Hulthen Potentials

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Communications in Theoretical Physics 2011年第3期55卷 399-404页

作者： CHEN Chang-Yuan SUN Dong-Sheng LIU Cheng-Lin LU Fa-Lin School of Physics and Electronics Yancheng Teachers University Yancheng 224002 China

Using the exponential function transformation approach along with an approximation for the centrifugal potential, the radial Schr6dinger equation of D-dimensional Hulthen potential is transformed to a hypergeometric differential equation. The approximate analytical solutions of scattering states are attained. The normalized wave functions expressed in terms of hypergeometrie functions of scattering states on the ＂k/2π scale＂ and the calculation formula of phase shifts are given. The physical meaning of the approximate analytical solutions is discussed.

关键词： D-dimensional Hulthen potential Schrodinger equation scattering states approximate analytical solutions

Exact scattering states in one-dimensional Hermitian and non-Hermitian potentials

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Chinese Physics B 2020年第9期29卷 194-198页

作者： Ruo-Lin Chai Qiong-Tao Xie Xiao-Liang Liu College of Physics and Electronic Engineering Hainan Normal UniversityHaikou 571158China School of Physics and Electronics Central South UniversityChangsha 410083China

The scattering states in one-dimensional Hermitian and non-Hermitian potentials are investigated. An analytical solution for the scattering states is presented in terms of Heun functions. It is shown that for some specially chosen parameter conditions, an infinite number of the exact scattering states is obtained. In the Hermitian potentials, they correspond to the reflectionless states. In the non-Hermitian complex potentials with parity-time symmetry, they are the unidirectionally reflectionless states.

关键词： exact solutions scattering states non-Hermitian potential

scattering states of modified Pschl-Teller potential in D-dimension

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Chinese Physics B 2012年第3期21卷 38-44页

作者：陈昌远陆法林尤源 School of Physics and Electronics Yancheng Teachers University

We present a new approximation scheme for the centrifugal term,and apply this new approach to the Schrdinger equation with the modified Pschl-Teller potential in the D-dimension for arbitrary angular momentum *** approximate analytical solutions of the scattering states are *** normalized wave functions expressed in terms of the hypergeometric functions of the scattering states on the k/2π scale and the calculation formula of the phase shifts are *** numerical results show that our results are in good agreement with those obtained by using the amplitude-phase method(APM).

关键词： modified Pschl-Teller potential in D-dimension Schrdinger equation scattering states

scattering states of modified PSschl-Teller potential in D-dimension

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Chinese Physics B 2012年第3期21卷 38-44页

We present a new approximation scheme for the centrifugal term, and apply this new approach to the SchrSdinger equation with the modified P5schl Teller potential in the -dimension for arbitrary angular momentum states. The approximate analytical solutions of the scattering states are derived. The normalized wave functions expressed in terms of the hypergeometric functions of the scattering states on the 2 scale and the calculation formula of the phase shifts are given. The numerical results show that our results are in good agreement with those obtained by using the amplitude-phase method （APM）.

关键词： modified Poschl Teller potential in D-dimension SchrSdinger equation scattering states

Relativistic scattering states of Coulomb Potential Plus a New Ring-Shaped Potential

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Communications in Theoretical Physics 2006年第5期45卷 889-893页

作者： CHEN Chang-Yuan LU Fa-Lin SUN Dong-Sheng Department of Physics Yancheng Teachers College Yancheng 224002 China

In this paper, exact solutions of scattering states of the Klein-Gordon equation with Coulomb potential plus a new ring-shaped potential are studied under the condition that the scalar potential is equal to the vector potential. The normalized wave functions of scattering states on the “k/27π scale” and the calculation formula of phase shifts are presented. Analytical properties of the scattering amplitude are discussed.

关键词： Coulomb potential plus a new ring-shaped potential scattering states phase shifts Klein-Gordon equation

scattering and Bound states of the Dirac Particle for q-Parameter Hyperbolic Pschl-Teller Potential

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Communications in Theoretical Physics 2018年第11期69卷 541-551页

作者： M.C.Onyeaju A.N.Ikot C.A.Onate H.P.Obong O.Ebomwonyi Theoretical Physics group Department of PhysicsUniversity of Port HarcourtP.M.B.5323Choba Port HarcourtNigeria Department of Physical Sciences Landmark UniversityOmu-AranNigeria Physics Department University of BeninBenin CityEdo StateNigeria

The one-dimensional Dirac particle for equal scalar and vector asymmetric q-parameter hyperbolic PschlTeller potential (qHPT) is solved in terms of hypergeometric functions. The scattering and bound states are obtained by using the properties of the equation of continuity of the wave functions. We calculat in details the transmission and reflection coefficients.

关键词： dirac particles Pschl-Teller potential bound states scattering states