Group theory approach to the Dirac equation with a Coulomb plus scalar potential in D+1 dimensions

Shi Hai Dong; Guo Hua Sun; Dušan Popov

doi:10.1063/1.1604185

Group theory approach to the Dirac equation with a Coulomb plus scalar potential in D+1 dimensions

Shi Hai Dong, Guo Hua Sun, Dušan Popov

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

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Abstract

We generalize the Dirac equation to D + 1 space-time. The conserved angular momentum operators and their quantum numbers are discussed. The eigenfunctions of the total angular momentums are calculated for both odd D and even D cases. The exact solutions of the D +1 -dimensional radial equations of the Dirac equation with a Coulomb plus scalar potential are analytically presented by studying the Tricomi equations obtained from a pair of coupled first-order ones. The eigenvalues are also discussed in some detail.

Original language	English
Pages (from-to)	4467-4479
Number of pages	13
Journal	Journal of Mathematical Physics
Volume	44
Issue number	10
DOIs	https://doi.org/10.1063/1.1604185
State	Published - 1 Oct 2003
Externally published	Yes

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abstract = "We generalize the Dirac equation to D + 1 space-time. The conserved angular momentum operators and their quantum numbers are discussed. The eigenfunctions of the total angular momentums are calculated for both odd D and even D cases. The exact solutions of the D +1 -dimensional radial equations of the Dirac equation with a Coulomb plus scalar potential are analytically presented by studying the Tricomi equations obtained from a pair of coupled first-order ones. The eigenvalues are also discussed in some detail.",

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N2 - We generalize the Dirac equation to D + 1 space-time. The conserved angular momentum operators and their quantum numbers are discussed. The eigenfunctions of the total angular momentums are calculated for both odd D and even D cases. The exact solutions of the D +1 -dimensional radial equations of the Dirac equation with a Coulomb plus scalar potential are analytically presented by studying the Tricomi equations obtained from a pair of coupled first-order ones. The eigenvalues are also discussed in some detail.

AB - We generalize the Dirac equation to D + 1 space-time. The conserved angular momentum operators and their quantum numbers are discussed. The eigenfunctions of the total angular momentums are calculated for both odd D and even D cases. The exact solutions of the D +1 -dimensional radial equations of the Dirac equation with a Coulomb plus scalar potential are analytically presented by studying the Tricomi equations obtained from a pair of coupled first-order ones. The eigenvalues are also discussed in some detail.

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Group theory approach to the Dirac equation with a Coulomb plus scalar potential in D+1 dimensions

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