The (2+ 1) Dirac equation with a delta potential

Shi Hai Dong; Zhong Qi Ma

doi:10.1023/A:1020952124932

The (2+ 1) Dirac equation with a delta potential

Shi Hai Dong, Zhong Qi Ma

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

9 Scopus citations

Abstract

In this Letter the bound states of (2+1) Dirac equation with the cylindrically symmetric δ(r - r₀) potential are discussed. It is surprisingly found that the relation between the radial functions at two sides of r₀ can be established by an SO(2) transformation. We obtain a transcendental equation for calculating the energy of the bound state from the matching condition in the configuration space. The condition for existence of bound states is determined by the Sturm-Liouville theorem.

Original language	English
Pages (from-to)	171-178
Number of pages	8
Journal	Foundations of Physics Letters
Volume	15
Issue number	2
DOIs	https://doi.org/10.1023/A:1020952124932
State	Published - Apr 2002
Externally published	Yes

Keywords

Dirac equation
SO(2) transformation
δ potential

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abstract = "In this Letter the bound states of (2+1) Dirac equation with the cylindrically symmetric δ(r - r0) potential are discussed. It is surprisingly found that the relation between the radial functions at two sides of r0 can be established by an SO(2) transformation. We obtain a transcendental equation for calculating the energy of the bound state from the matching condition in the configuration space. The condition for existence of bound states is determined by the Sturm-Liouville theorem.",

keywords = "Dirac equation, SO(2) transformation, δ potential",

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

note = "Funding Information: Prof. C. D. Lin and Prof. A. Frank for the hospitality of the to Departthank ment of Physics of the Kansas State University and UNAM, project respec tively. This work is supported by CONACyT, Mexico, under 32397-E, and the National Natural Science Foundation of China.",

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T1 - The (2+ 1) Dirac equation with a delta potential

AU - Dong, Shi Hai

AU - Ma, Zhong Qi

N1 - Funding Information: Prof. C. D. Lin and Prof. A. Frank for the hospitality of the to Departthank ment of Physics of the Kansas State University and UNAM, project respec tively. This work is supported by CONACyT, Mexico, under 32397-E, and the National Natural Science Foundation of China.

PY - 2002/4

Y1 - 2002/4

N2 - In this Letter the bound states of (2+1) Dirac equation with the cylindrically symmetric δ(r - r0) potential are discussed. It is surprisingly found that the relation between the radial functions at two sides of r0 can be established by an SO(2) transformation. We obtain a transcendental equation for calculating the energy of the bound state from the matching condition in the configuration space. The condition for existence of bound states is determined by the Sturm-Liouville theorem.

AB - In this Letter the bound states of (2+1) Dirac equation with the cylindrically symmetric δ(r - r0) potential are discussed. It is surprisingly found that the relation between the radial functions at two sides of r0 can be established by an SO(2) transformation. We obtain a transcendental equation for calculating the energy of the bound state from the matching condition in the configuration space. The condition for existence of bound states is determined by the Sturm-Liouville theorem.

KW - Dirac equation

KW - SO(2) transformation

KW - δ potential

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U2 - 10.1023/A:1020952124932

DO - 10.1023/A:1020952124932

M3 - Artículo

SN - 0894-9875

VL - 15

SP - 171

EP - 178

JO - Foundations of Physics Letters

JF - Foundations of Physics Letters

IS - 2

ER -

The (2+ 1) Dirac equation with a delta potential

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Keywords

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