SELF-ADJOINT EXTENSION APPROACH TO THE SPIN-1/2 AHARONOV-BOHM-COULOMB PROBLEM

被引:33
作者
PARK, DK [1 ]
OH, JG [1 ]
机构
[1] KYUNG NAM UNIV,DEPT PHYS,MASAN 631701,SOUTH KOREA
来源
PHYSICAL REVIEW D | 1994年 / 50卷 / 12期
关键词
D O I
10.1103/PhysRevD.50.7715
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The spin-1/2 Aharonov-Bohm problem is examined in the Galilean limit for the case in which a Coulomb potential is included. It is found that the application of the self-adjoint extension method to this system yields singular solutions only for one-half the full range of the flux parameter, which is allowed in the limit of a vanishing Coulumb potential. Thus one has a remarkable example of a case in which the condition of normalizability is necessary but not sufficient for the occurrence of singular solutions. Expressions for the bound state energies are derived. Also the conditions for the occurrence of singular solutions are obtained when the nongauge potential is /rp (0p<2). © 1994 The American Physical Society.
引用
收藏
页码:7715 / 7720
页数:6
相关论文
共 16 条
[1]   SIGNIFICANCE OF ELECTROMAGNETIC POTENTIALS IN THE QUANTUM THEORY [J].
AHARONOV, Y ;
BOHM, D .
PHYSICAL REVIEW, 1959, 115 (03) :485-491
[2]  
Albeverio S., 2005, SOLVABLE MODELS QUAN, V2nd ed.
[3]   AHARONOV-BOHM INTERACTION OF COSMIC STRINGS WITH MATTER [J].
ALFORD, MG ;
WILCZEK, F .
PHYSICAL REVIEW LETTERS, 1989, 62 (10) :1071-1074
[4]   ENHANCED BARYON NUMBER VIOLATION DUE TO COSMIC STRINGS [J].
ALFORD, MG ;
MARCHRUSSELL, J ;
WILCZEK, F .
NUCLEAR PHYSICS B, 1989, 328 (01) :140-158
[5]  
[Anonymous], 1964, RELATIVISTIC QUANTUM
[6]   FLUX-CARRYING FERMIONS AND THE 2ND VIRIAL-COEFFICIENT [J].
BLUM, T ;
HAGEN, CR ;
RAMASWAMY, S .
PHYSICAL REVIEW LETTERS, 1990, 64 (07) :709-712
[7]  
Capri A.Z, 1985, NONRELATIVISTIC QUAN
[8]   FERMIONS IN AN AHARONOV-BOHM FIELD AND COSMIC STRINGS [J].
GERBERT, PD .
PHYSICAL REVIEW D, 1989, 40 (04) :1346-1349
[9]   AHARONOV-BOHM SCATTERING-AMPLITUDE [J].
HAGEN, CR .
PHYSICAL REVIEW D, 1990, 41 (06) :2015-2017
[10]   AHARONOV-BOHM SCATTERING OF PARTICLES WITH SPIN [J].
HAGEN, CR .
PHYSICAL REVIEW LETTERS, 1990, 64 (05) :503-506