Exact energy eigenvalues of the generalized Dirac-Coulomb equation via a modified similarity transformation

被引：11

作者：

Mustafa, O ^{[1
]}

Barakat, T

机构：

[1] Eastern Mediterranean Univ, Dept Phys, Mersin 10, Turkey

[2] Near East Univ, Dept Civil Engn, Lefkosa 10, Mersin, Turkey

来源：

COMMUNICATIONS IN THEORETICAL PHYSICS | 1998年 / 30卷 / 03期

关键词：

eigenvalues; Dirac equation; similarity transformation;

D O I：

10.1088/0253-6102/30/3/411

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

With the aid of a modified similarity transformation me have obtained exact energy eigenvalues of the generalized Dirac-Coulomb equation. This equation consists of the time component of the Lorentz 4-vector potential V(v)(tau) = -A(1)/tau, and a Lorentz scalar potential V(s)(tau) = -A(2)/tau. The transformed radial equations are so simple that their solutions are inferred from the conventional solutions of the Schrodinger-Coulomb equation.

引用

页码：411 / 414

页数：4

共 50 条

[41] Exact solutions to the Dirac equation with a Coulomb potential in 2+1 dimensions
Dong, SH
Ma, ZQ
PHYSICS LETTERS A, 2003, 312 (1-2) : 78 - 83
[42] Exact solutions to the Dirac equation for a Coulomb potential in D+1 dimensions
Gu, XY
Ma, ZQ
Dong, SH
INTERNATIONAL JOURNAL OF MODERN PHYSICS E-NUCLEAR PHYSICS, 2002, 11 (04) : 335 - 346
[43] Quasi-exact solvability of Dirac-Pauli equation and generalized Dirac oscillators
Ho, CL
Roy, P
ANNALS OF PHYSICS, 2004, 312 (01) : 161 - 176
[44] Inverse Hamiltonian method assisted by the complex scaling technique for solving the Dirac-Coulomb equation: Helium isoelectronic atoms
Nakashima, Hiroyuki
Nakatsuji, Hiroshi
CHEMICAL PHYSICS LETTERS, 2020, 749
[45] Variational solution of the Dirac-Coulomb equation using explicitly correlated wavefunctions. Matrix elements and radial integrals
Pestka, G
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1998, 31 (29): : 6243 - 6251
[46] Nonrelativistic expansion of the Dirac-Coulomb energy and the nonretarded Breit-interaction correction up to order α8
Zhou, Wanping
Yang, Sanjiang
Qiao, Haoxue
PHYSICAL REVIEW A, 2025, 111 (02)
[47] HIGH-ORDER EXPANSION OF THE ENERGY EIGENVALUES OF A RELATIVISTIC COULOMB EQUATION
LEYAOUANC, A
OLIVER, L
RAYNAL, JC
ANNALS OF PHYSICS, 1995, 239 (02) : 243 - 271
[48] Exact energy spectrum of the generalized Dirac oscillator in an electric field
Laba, H. P.
Tkachuk, V. M.
EUROPEAN PHYSICAL JOURNAL PLUS, 2018, 133 (07):
[49] Exact energy spectrum of the generalized Dirac oscillator in an electric field
H. P. Laba
V. M. Tkachuk
The European Physical Journal Plus, 133
[50] Exact solution of the Dirac equation for a Coulomb and scalar potentials in the gravitational field of a cosmic string
Marques, GD
Bezerra, VB
Fernandes, SG
PHYSICS LETTERS A, 2005, 341 (1-4) : 39 - 47

← 1 2 3 4 5 →