The Dirac-oscillator green's function

A. D. Alhaidari

doi:10.1023/B:IJTP.0000048591.51927.e9

The Dirac-oscillator green's function

A. D. Alhaidari^*

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

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

5 Scopus citations

Abstract

We obtain the two-point Green's function for the relativistic Dirac oscillator problem. This is accomplished by setting up the relativistic problem in such a way that makes comparison with the nonrelativistic problem highly transparent and results in a map of the latter into the former. The relativistic bound states energy spectrum is obtained by locating the energy poles of this Green's function in a simple and straightforward manner.

Original language	English
Pages (from-to)	939-946
Number of pages	8
Journal	International Journal of Theoretical Physics
Volume	43
Issue number	4
DOIs	https://doi.org/10.1023/B:IJTP.0000048591.51927.e9
State	Published - Apr 2004

Keywords

Dirac equation
Dirac-oscillator
Energy spectrum
Green's function

ASJC Scopus subject areas

General Mathematics
Physics and Astronomy (miscellaneous)

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10.1023/B:IJTP.0000048591.51927.e9

Cite this

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title = "The Dirac-oscillator green's function",

abstract = "We obtain the two-point Green's function for the relativistic Dirac oscillator problem. This is accomplished by setting up the relativistic problem in such a way that makes comparison with the nonrelativistic problem highly transparent and results in a map of the latter into the former. The relativistic bound states energy spectrum is obtained by locating the energy poles of this Green's function in a simple and straightforward manner.",

keywords = "Dirac equation, Dirac-oscillator, Energy spectrum, Green's function",

author = "Alhaidari, \{A. D.\}",

year = "2004",

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N2 - We obtain the two-point Green's function for the relativistic Dirac oscillator problem. This is accomplished by setting up the relativistic problem in such a way that makes comparison with the nonrelativistic problem highly transparent and results in a map of the latter into the former. The relativistic bound states energy spectrum is obtained by locating the energy poles of this Green's function in a simple and straightforward manner.

AB - We obtain the two-point Green's function for the relativistic Dirac oscillator problem. This is accomplished by setting up the relativistic problem in such a way that makes comparison with the nonrelativistic problem highly transparent and results in a map of the latter into the former. The relativistic bound states energy spectrum is obtained by locating the energy poles of this Green's function in a simple and straightforward manner.

KW - Dirac equation

KW - Dirac-oscillator

KW - Energy spectrum

KW - Green's function

UR - https://www.scopus.com/pages/publications/24144466847

U2 - 10.1023/B:IJTP.0000048591.51927.e9

DO - 10.1023/B:IJTP.0000048591.51927.e9

M3 - Article

AN - SCOPUS:24144466847

SN - 0020-7748

VL - 43

SP - 939

EP - 946

JO - International Journal of Theoretical Physics

JF - International Journal of Theoretical Physics

IS - 4

ER -

The Dirac-oscillator green's function

Abstract

Keywords

ASJC Scopus subject areas

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