文献类型：期刊文献

中文题名：Notes on Application of WKB Method

英文题名：Notes on Application of WKB Method

作者：Gu Xiao-Yan[1];Sun Jian-Qiang[2]

机构：[1]E China Univ Sci & Technol, Dept Phys, Shanghai 200237, Peoples R China;[2]Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China

年份：2008

卷号：50

期号：10

起止页码：864

中文期刊名：Communications in Theoretical Physics

外文期刊名：COMMUNICATIONS IN THEORETICAL PHYSICS

收录：CSTPCD;;Scopus;WOS:【SCI-EXPANDED(收录号:WOS:000260450600014)】；CSCD:【CSCD2011_2012】；PubMed;

基金：The project supported National Natural Science Foundation of China under Grant No. 10747130 and the Foundation of East China University of Science and Technology

语种：英文

中文关键词：WKB method; quantization rules; harmonic oscillator; two-dimensional space

外文关键词：WKB method; quantization rules; harmonic oscillator; two-dimensional space

摘要：The notes here presented are of the modifications introduced in the application of WKB method.Theproblems of two-and three-dimensional harmonic oscillator potential are revisited by WKB and the new formulationof quantization rule respectively.It is found that the energy spectrum of the radial harmonic oscillator,which isreproduced exactly by the standard WKB method with the Langer modification,is also reproduced exactly without theLanger modification via the new quantization rule approach.An alternative way to obtain the non-integral Maslov indexfor three-dimensional harmonic oscillator is proposed.
The notes here presented are of the modifications introduced in the application Of WKB method. The problems of two- and three-dimensional harmonic oscillator potential are revisited WKB nand the new formulation of quantization rule respectively It is found that the energy spectrum of the radial harmonic oscillator, which is reproduced exactly by the standard WKB method with the Langer modification, is also reproduced exactly without the Langer modification via the new quantization nile approach. An alternative way to obtain the non-integral Maslov index for three-dimensional harmonic oscillator is proposed.