The Dirac-oscillator Green's function

被引：5

作者：

Alhaidari, AD ^{[1
]}

机构：

[1] King Fahd Univ Petr & Minerals, Dept Phys, Dhahran 31261, Saudi Arabia

来源：

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 2004年 / 43卷 / 04期

关键词：

Dirac-oscillator; Green's function; Dirac equation; energy spectrum;

D O I：

10.1023/B:IJTP.0000048591.51927.e9

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We obtain the two-point Green's function for the relativistic Dirac oscillator problem. This is accomplished by setting up the relativistic problem in such a way that makes comparison with the nonrelativistic problem highly transparent and results in a map of the latter into the former. The relativistic bound states energy spectrum is obtained by locating the energy poles of this Green's function in a simple and straightforward manner.

引用

页码：939 / 946

页数：8

共 23 条

[1] Graded extension of so(2,1) Lie algebra and the search for exact solutions of the Dirac equation by point canonical transformations (vol 65, art no 042109, 2002) [J].

Alhaidari, AD .

PHYSICAL REVIEW A, 2002, 66 (01)

[2] Graded extension of so(2,1) Lie algebra and the search for exact solutions of the Dirac equation by point canonical transformations [J].

Alhaidari, AD .

PHYSICAL REVIEW A, 2002, 65 (04) :8

[3] Solution of the Dirac equation for potential interaction [J].

Alhaidari, AD .

INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2003, 18 (27) :4955-4973

[4] Solution of the relativistic Dirac-Morse problem (vol 87, art no 210405, 2001) [J].

Alhaidari, AD .

PHYSICAL REVIEW LETTERS, 2002, 88 (18)

[5] Exact solutions of Dirac and Schrodinger equations for a large class of power-law potentials at zero energy [J].

Alhaidari, AD .

INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2002, 17 (30) :4551-4566

[6] Relativistic extension of shape-invariant potentials [J].

Alhaidari, AD .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2001, 34 (46) :9827-9833

[7] Solution of the relativistic Dirac-Morse problem [J].

Alhaidari, AD .

PHYSICAL REVIEW LETTERS, 2001, 87 (21) :210405-1

[8]

Bateman H., 1953, HIGHER TRANSCENDENTA

[9]

BELLANDIFILHO J, 1976, LETT NUOVO CIMENTO, V16, P331

[10]

BENITEZ J, 1990, PHYS REV LETT, V64, P1643, DOI 10.1103/PhysRevLett.64.1643

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