Exact solutions to the Dirac equation for a Coulomb potential in D+1 dimensions

Xiao Yan Gu; Zhong Qi Ma; Shi Hai Dong

doi:10.1142/S0218301302000879

Exact solutions to the Dirac equation for a Coulomb potential in D+1 dimensions

Xiao Yan Gu, Zhong Qi Ma, Shi Hai Dong

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

42 Scopus citations

Abstract

The Dirac equation is generalized to D+1 space-time. The conserved angular momentum operators and their quantum numbers are discussed. The eigenfunctions of the total angular momenta are calculated for both odd D and even D cases. The radial equations for a spherically symmetric system are derived. The exact solutions for the system with a Coulomb potential are obtained analytically. The energy levels and the corresponding fine structure are also presented.

Original language	English
Pages (from-to)	335-346
Number of pages	12
Journal	International Journal of Modern Physics E
Volume	11
Issue number	4
DOIs	https://doi.org/10.1142/S0218301302000879
State	Published - Aug 2002
Externally published	Yes

Keywords

D+1 dimensions
Dirac equation
Exact solutions
SO(D) group

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10.1142/S0218301302000879

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title = "Exact solutions to the Dirac equation for a Coulomb potential in D+1 dimensions",

abstract = "The Dirac equation is generalized to D+1 space-time. The conserved angular momentum operators and their quantum numbers are discussed. The eigenfunctions of the total angular momenta are calculated for both odd D and even D cases. The radial equations for a spherically symmetric system are derived. The exact solutions for the system with a Coulomb potential are obtained analytically. The energy levels and the corresponding fine structure are also presented.",

keywords = "D+1 dimensions, Dirac equation, Exact solutions, SO(D) group",

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

note = "Funding Information: S.-H. Dong would like to thank Professor A. Frank for his hospitality at UNAM. This work is supported by the National Natural Science Foundation of China and CONACyT, Mexico, under project 32397-E.",

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T1 - Exact solutions to the Dirac equation for a Coulomb potential in D+1 dimensions

AU - Gu, Xiao Yan

AU - Ma, Zhong Qi

AU - Dong, Shi Hai

N1 - Funding Information: S.-H. Dong would like to thank Professor A. Frank for his hospitality at UNAM. This work is supported by the National Natural Science Foundation of China and CONACyT, Mexico, under project 32397-E.

PY - 2002/8

Y1 - 2002/8

N2 - The Dirac equation is generalized to D+1 space-time. The conserved angular momentum operators and their quantum numbers are discussed. The eigenfunctions of the total angular momenta are calculated for both odd D and even D cases. The radial equations for a spherically symmetric system are derived. The exact solutions for the system with a Coulomb potential are obtained analytically. The energy levels and the corresponding fine structure are also presented.

AB - The Dirac equation is generalized to D+1 space-time. The conserved angular momentum operators and their quantum numbers are discussed. The eigenfunctions of the total angular momenta are calculated for both odd D and even D cases. The radial equations for a spherically symmetric system are derived. The exact solutions for the system with a Coulomb potential are obtained analytically. The energy levels and the corresponding fine structure are also presented.

KW - D+1 dimensions

KW - Dirac equation

KW - Exact solutions

KW - SO(D) group

UR - http://www.scopus.com/inward/record.url?scp=0036669435&partnerID=8YFLogxK

U2 - 10.1142/S0218301302000879

DO - 10.1142/S0218301302000879

M3 - Artículo

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VL - 11

SP - 335

EP - 346

JO - International Journal of Modern Physics E

JF - International Journal of Modern Physics E

IS - 4

ER -

Exact solutions to the Dirac equation for a Coulomb potential in D+1 dimensions

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Keywords

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