The improved quantization rule and the Langer modification

Xiao Yan Gu; Shi Hai Dong

doi:10.1016/j.physleta.2007.11.003

The improved quantization rule and the Langer modification

Xiao Yan Gu, Shi Hai Dong

Research output: Contribution to journal › Article › peer-review

29 Scopus citations

Abstract

An improved quantization rule is used to obtain a generalized formulation of Langer modification. The relations between the improved quantization rule and the Langer modification are studied. Two typical quantum systems, hydrogen atom and harmonic oscillator, are studied to show the relations between them.

Original language	English
Pages (from-to)	1972-1977
Number of pages	6
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	372
Issue number	12
DOIs	https://doi.org/10.1016/j.physleta.2007.11.003
State	Published - Mar 2008

Keywords

Bound states
Improved quantization rule
Langer modification
Maslov index
WKB approximation

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10.1016/j.physleta.2007.11.003

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title = "The improved quantization rule and the Langer modification",

abstract = "An improved quantization rule is used to obtain a generalized formulation of Langer modification. The relations between the improved quantization rule and the Langer modification are studied. Two typical quantum systems, hydrogen atom and harmonic oscillator, are studied to show the relations between them.",

keywords = "Bound states, Improved quantization rule, Langer modification, Maslov index, WKB approximation",

author = "Gu, {Xiao Yan} and Dong, {Shi Hai}",

note = "Funding Information: This work was supported by the Foundation of East China University of Science and Technology, partially by COFFA-IPN, Projects 20062088-SIP-IPN and 20070914-SIP-IPN, Mexico. ",

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AU - Dong, Shi Hai

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N2 - An improved quantization rule is used to obtain a generalized formulation of Langer modification. The relations between the improved quantization rule and the Langer modification are studied. Two typical quantum systems, hydrogen atom and harmonic oscillator, are studied to show the relations between them.

AB - An improved quantization rule is used to obtain a generalized formulation of Langer modification. The relations between the improved quantization rule and the Langer modification are studied. Two typical quantum systems, hydrogen atom and harmonic oscillator, are studied to show the relations between them.

KW - Bound states

KW - Improved quantization rule

KW - Langer modification

KW - Maslov index

KW - WKB approximation

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DO - 10.1016/j.physleta.2007.11.003

M3 - Artículo

SN - 0375-9601

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SP - 1972

EP - 1977

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 12

ER -

The improved quantization rule and the Langer modification

Abstract

Keywords

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