KLEIN-GORDON EQUATION FOR THE COULOMB POTENTIAL IN NONCOMMUTATIVE SPACE

被引:84
作者
Motavalli, Hossein [1 ,2 ]
Akbarieh, Amin Rezaei [1 ]
机构
[1] Tabriz Univ, Fac Phys, Tabriz 56554, Iran
[2] Tabriz Univ, Res Inst Fundamental Sci, Tabriz 56554, Iran
关键词
Klein-Gordon equation; Coulomb potential; noncommutative space; HYDROGEN-ATOM SPECTRUM; QUANTUM-FIELD THEORY; BOUND-STATES; DIRAC-EQUATION; PHASE-SPACE; VECTOR; SCALAR;
D O I
10.1142/S0217732310033529
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
In this paper the stationary Klein-Gordon equation is considered for the Coulomb potential in noncommutative space. The energy shift due to noncommutativity is obtained via the perturbation theory. Furthermore, we show that the degeneracy of the initial spectral line is broken in transition from commutative space to noncommutative space.
引用
收藏
页码:2523 / 2528
页数:6
相关论文
共 39 条
[1]  
ABDELRAHMAN RG, 2008, CHINESE PHYS, V5, P495
[2]  
Akbarieh AR, 2008, MOD PHYS LETT A, V23, P3005
[3]  
Alvarez-Gaumé L, 2001, INT J MOD PHYS A, V16, P1123, DOI 10.1142/S0217751X01002750
[4]   Gauge theory on a quantum phase space [J].
Alvarez-Gaumé, L ;
Wadia, SR .
PHYSICS LETTERS B, 2001, 501 (3-4) :319-325
[5]  
[Anonymous], 1988, Special functions of mathematical physics
[6]   Supersymmetric noncommutative QED and Lorentz violation [J].
Carlson, CE ;
Carone, CD ;
Lebed, RF .
PHYSICS LETTERS B, 2002, 549 (3-4) :337-343
[7]   Bounding noncommutative QCD [J].
Carlson, CE ;
Carone, CD ;
Lebed, RF .
PHYSICS LETTERS B, 2001, 518 (1-2) :201-206
[8]   Noncommutative field theory and Lorentz violation [J].
Carroll, SM ;
Harvey, JA ;
Kostelecky, VA ;
Lane, CD ;
Okamoto, T .
PHYSICAL REVIEW LETTERS, 2001, 87 (14) :141601/1-141601/4
[9]   Hydrogen atom spectrum and the Lamb shift in noncommutative QED [J].
Chaichian, M ;
Sheikh-Jabbari, MM ;
Tureanu, A .
PHYSICAL REVIEW LETTERS, 2001, 86 (13) :2716-2719
[10]   Non-commutativity of space-time and the hydrogen atom spectrum [J].
Chaichian, M ;
Sheikh-Jabbari, MM ;
Tureanu, A .
EUROPEAN PHYSICAL JOURNAL C, 2004, 36 (02) :251-252