Exact solutions of dirac equation for a new spherically asymmetrical singular oscillator

Guo Hua Sun; Shi Hai Dong

doi:10.1142/S0217732310033785

Exact solutions of dirac equation for a new spherically asymmetrical singular oscillator

Guo Hua Sun, Shi Hai Dong

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

24 Scopus citations

Abstract

In this work we solve the Dirac equation by constructing the exact bound state solutions for a mixing of scalar and vector spherically asymmetrical singular oscillators. This is done provided that the vector potential is equal to the scalar potential. The spinor wave functions and bound state energy levels are presented. The case V(r) = -S(r) is also considered.

Original language	English
Pages (from-to)	2849-2857
Number of pages	9
Journal	Modern Physics Letters A
Volume	25
Issue number	33
DOIs	https://doi.org/10.1142/S0217732310033785
State	Published - 30 Oct 2010

Keywords

Dirac equation
exact solutions
nonlinear energy equation
spherically asymmetrical singular oscillator

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10.1142/S0217732310033785

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abstract = "In this work we solve the Dirac equation by constructing the exact bound state solutions for a mixing of scalar and vector spherically asymmetrical singular oscillators. This is done provided that the vector potential is equal to the scalar potential. The spinor wave functions and bound state energy levels are presented. The case V(r) = -S(r) is also considered.",

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N2 - In this work we solve the Dirac equation by constructing the exact bound state solutions for a mixing of scalar and vector spherically asymmetrical singular oscillators. This is done provided that the vector potential is equal to the scalar potential. The spinor wave functions and bound state energy levels are presented. The case V(r) = -S(r) is also considered.

AB - In this work we solve the Dirac equation by constructing the exact bound state solutions for a mixing of scalar and vector spherically asymmetrical singular oscillators. This is done provided that the vector potential is equal to the scalar potential. The spinor wave functions and bound state energy levels are presented. The case V(r) = -S(r) is also considered.

KW - Dirac equation

KW - exact solutions

KW - nonlinear energy equation

KW - spherically asymmetrical singular oscillator

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DO - 10.1142/S0217732310033785

M3 - Artículo

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JO - Modern Physics Letters A

JF - Modern Physics Letters A

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Exact solutions of dirac equation for a new spherically asymmetrical singular oscillator

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