Continuum states of modified Morse potential

doi:10.1088/1674-1056/19/9/090308

中国物理B ›› 2010, Vol. 19 ›› Issue (9): 90308-090308.doi: 10.1088/1674-1056/19/9/090308

Continuum states of modified Morse potential

陈文利¹, 卫高峰²

(1)Department of Basic Science, Xi'an Peihua University, Xi'an 710065, China; (2)Department of Physics, Xi'an University of Arts and Science, Xi'an 710065, China

收稿日期:2010-01-19 修回日期:2010-04-26 出版日期:2010-09-15 发布日期:2010-09-15
基金资助:
Project supported by Xi'an University of Arts and Science, China (Grant No. KYC200801).

Continuum states of modified Morse potential

Wei Gao-Feng(卫高峰)^a)^† and Chen Wen-Li(陈文利)^b)

^a Department of Physics, Xi'an University of Arts and Science, Xi'an 710065, China; ^b Department of Basic Science, Xi'an Peihua University, Xi'an 710065, China

Received:2010-01-19 Revised:2010-04-26 Online:2010-09-15 Published:2010-09-15
Supported by:
Project supported by Xi'an University of Arts and Science, China (Grant No. KYC200801).

摘要/Abstract

摘要： Using a proper approximation scheme to the centrifugal term, we study any l-wave continuum states of the Schrõdinger equation for the modified Morse potential. The normalised analytical radial wave functions are presented, and a corresponding calculation formula of phase shifts is derived. It is shown that the energy levels of the continuum states reduce to those of the bound states at the poles of the scattering amplitude. Some numerical results are calculated to show the accuracy of our results.

Abstract: Using a proper approximation scheme to the centrifugal term, we study any l-wave continuum states of the Schrõdinger equation for the modified Morse potential. The normalised analytical radial wave functions are presented, and a corresponding calculation formula of phase shifts is derived. It is shown that the energy levels of the continuum states reduce to those of the bound states at the poles of the scattering amplitude. Some numerical results are calculated to show the accuracy of our results.

Key words: modified Morse potential, continuum states, approximate analytical solutions

中图分类号:

0365

卫高峰, 陈文利. Continuum states of modified Morse potential[J]. 中国物理B, 2010, 19(9): 90308-090308.

Wei Gao-Feng(卫高峰) and Chen Wen-Li(陈文利). Continuum states of modified Morse potential[J]. Chin. Phys. B, 2010, 19(9): 90308-090308.

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Continuum states of modified Morse potential

Continuum states of modified Morse potential

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