Non-relativistic scattering amplitude for a new multi-parameter exponential-type potential

doi:10.1088/1674-1056/25/8/080302

中国物理B ›› 2016, Vol. 25 ›› Issue (8): 80302-080302.doi: 10.1088/1674-1056/25/8/080302

Non-relativistic scattering amplitude for a new multi-parameter exponential-type potential

Yazarloo B H, Mehraban H, Hassanabadi H

1 Physics Department, Semnan University, P. O. Box 35195-363, Semnan, Iran;
2 Physics Department, Shahrood University of Technology, Shahrood, Iran

收稿日期:2016-02-03 修回日期:2016-03-26 出版日期:2016-08-05 发布日期:2016-08-05
通讯作者: Yazarloo B H E-mail:h.yazarloo@students.semnan.ac.ir

Non-relativistic scattering amplitude for a new multi-parameter exponential-type potential

Yazarloo B H¹, Mehraban H¹, Hassanabadi H²

1 Physics Department, Semnan University, P. O. Box 35195-363, Semnan, Iran;
2 Physics Department, Shahrood University of Technology, Shahrood, Iran

Received:2016-02-03 Revised:2016-03-26 Online:2016-08-05 Published:2016-08-05
Contact: Yazarloo B H E-mail:h.yazarloo@students.semnan.ac.ir

摘要/Abstract

摘要： In this paper, we study the scattering properties of s-wave Schrödinger equation for the multi-parameter potential, which can be reduced into four special cases for different values of potential parameters, i.e., Hulthén, Manning-Rosen, and Eckart potentials. We also obtain and investigate the scattering amplitudes of these special cases. Some numerical results are also obtained and reported.

关键词: scattering amplitude, Schrödinger equation, multi-parameter potential, phase shifts, cross section

Abstract: In this paper, we study the scattering properties of s-wave Schrödinger equation for the multi-parameter potential, which can be reduced into four special cases for different values of potential parameters, i.e., Hulthén, Manning-Rosen, and Eckart potentials. We also obtain and investigate the scattering amplitudes of these special cases. Some numerical results are also obtained and reported.

Key words: scattering amplitude, Schrödinger equation, multi-parameter potential, phase shifts, cross section

中图分类号: (Quantum mechanics)

03.65.-w

03.65.Nk (Scattering theory)

Yazarloo B H, Mehraban H, Hassanabadi H. Non-relativistic scattering amplitude for a new multi-parameter exponential-type potential[J]. 中国物理B, 2016, 25(8): 80302-080302.

Yazarloo B H, Mehraban H, Hassanabadi H. Non-relativistic scattering amplitude for a new multi-parameter exponential-type potential[J]. Chin. Phys. B, 2016, 25(8): 80302-080302.

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Non-relativistic scattering amplitude for a new multi-parameter exponential-type potential

Non-relativistic scattering amplitude for a new multi-parameter exponential-type potential

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