GALILEAN COVARIANT DIRAC EQUATION WITH A WOODS SAXON POTENTIAL

被引：1

作者：

Othman, A. A. ^{[1
,2
]}

De Montigny, M. ^{[1
,3
]}

Khanna, F. C. ^{[1
,4
]}

机构：

[1] Univ Alberta, Inst Theoret Phys, Edmonton, AB T6G 2E1, Canada

[2] Taibah Univ, Fac Sci, Dept Phys, Al Madinah Al Munawwarah, Saudi Arabia

[3] Univ Alberta, Fac St Jean, Edmonton, AB T6C 4G9, Canada

[4] TRIUMF, Vancouver, BC V6T 2A3, Canada

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS E | 2013年 / 22卷 / 12期

关键词：

Galilean covariance; Dirac equation; Woods-Saxon potential; MANY-BODY THEORY; ELECTRONIC-STRUCTURE; OPTICAL-MODEL; SCHRODINGER; OSCILLATOR; INVARIANCE; PARTICLES; MECHANICS; SYMMETRY; ALGEBRA;

D O I：

10.1142/S0218301313500924

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

摘要：

WE derive and solve the Galilean covariant Dirac equation, also called "Levy-Leblond equation", for spin-1/2 particles in a Woods-Saxon potential. We obtain this wave equation with a Galilean covariant approach, which is based on a (4 + 1)-dimensional manifold with light-cone coordinates followed by a reduction to the (3 + 1)-dimensional Galilean space-time. We apply the Pekeris approximation and exploit the Nikiforov-Uvarov method to find the energy eigenvalues and eigenfunctions.

引用

页数：18

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