Exact solution to the one-dimensional Dirac equation of linear potential

doi:10.1088/1009-1963/16/4/004

中国物理B ›› 2007, Vol. 16 ›› Issue (4): 897-900.doi: 10.1088/1009-1963/16/4/004

Exact solution to the one-dimensional Dirac equation of linear potential

龙超云¹, 秦水介²

(1)Department of Physics, Guizhou University, Guiyang 550025, China；Laboratory for Photoelectric Technology and Application, Guizhou University 550025, China ; (2)Laboratory for Photoelectric Technology and Application, Guizhou University 550025, China

收稿日期:2006-04-05 修回日期:2006-08-07 出版日期:2007-04-20 发布日期:2007-04-20
基金资助:
Project supported by the National Natural Science Foundation (Grant No 10347003, 50375031) and the Natural Science Foundation of Guizhou Province.

Exact solution to the one-dimensional Dirac equation of linear potential

Long Chao-Yun(龙超云)^a)^b) and Qin Shui -Jie(秦水介)^b)

^a Department of Physics, Guizhou University, Guiyang 550025, China；^b Laboratory for Photoelectric Technology and Application, Guizhou University 550025, China

Received:2006-04-05 Revised:2006-08-07 Online:2007-04-20 Published:2007-04-20
Supported by:
Project supported by the National Natural Science Foundation (Grant No 10347003, 50375031) and the Natural Science Foundation of Guizhou Province.

摘要/Abstract

摘要： In this paper the one-dimensional Dirac equation with linear potential has been solved by the method of canonical transformation. The bound-state wavefunctions and the corresponding energy spectrum have been obtained for all bound states.

关键词: Dirac equation, linear potential, exact solution

Abstract: In this paper the one-dimensional Dirac equation with linear potential has been solved by the method of canonical transformation. The bound-state wavefunctions and the corresponding energy spectrum have been obtained for all bound states.

Key words: Dirac equation, linear potential, exact solution

中图分类号: (Relativistic wave equations)

03.65.Pm

03.65.Ge (Solutions of wave equations: bound states)

龙超云, 秦水介. Exact solution to the one-dimensional Dirac equation of linear potential[J]. 中国物理B, 2007, 16(4): 897-900.

Long Chao-Yun(龙超云) and Qin Shui -Jie(秦水介). Exact solution to the one-dimensional Dirac equation of linear potential[J]. Chinese Physics, 2007, 16(4): 897-900.

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Exact solution to the one-dimensional Dirac equation of linear potential

Exact solution to the one-dimensional Dirac equation of linear potential

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