Semirelativistic treatment of bound states

被引:67
作者
Lucha, W
Schöberl, FF
机构
[1] Osterreich Akad Wissensch, Inst Hochenergiephys, A-1050 Vienna, Austria
[2] Univ Vienna, Inst Theoret Phys, A-1090 Vienna, Austria
来源
INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 1999年 / 14卷 / 15期
关键词
D O I
10.1142/S0217751X99001160
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
This review discusses several aspects of the semirelativistic description of bound states by the spinless Salpeter equation (which represents the simplest equation of motion incorporating relativistic effects) and, in particular, presents or recalls some very simple and elementary methods which allow us to derive rigorous statements on the corresponding solutions, that is, on energy levels as well as wave functions.
引用
收藏
页码:2309 / 2333
页数:25
相关论文
共 26 条
[1]   PERTURBATIVE EVALUATION OF THE EIGENVALUES OF THE HERBST-HAMILTONIAN [J].
BRAMBILLA, N ;
VAIRO, A .
PHYSICS LETTERS B, 1995, 359 (1-2) :133-140
[2]   PARTIAL-WAVE ANALYSIS OF A RELATIVISTIC COULOMB PROBLEM [J].
CASTORINA, P ;
CEA, P ;
NARDULLI, G ;
PAIANO, G .
PHYSICAL REVIEW D, 1984, 29 (11) :2660-2663
[3]   ANALYTIC SOLUTION OF THE RELATIVISTIC COULOMB PROBLEM FOR A SPINLESS SALPETER EQUATION [J].
DURAND, B ;
DURAND, L .
PHYSICAL REVIEW D, 1983, 28 (02) :396-406
[4]   ANALYTIC SOLUTION OF THE RELATIVISTIC COULOMB PROBLEM FOR A SPINLESS SALPETER EQUATION (VOL 28, PG 396, 1983) [J].
DURAND, B ;
DURAND, L .
PHYSICAL REVIEW D, 1994, 50 (10) :6662-6662
[5]   CRITICAL COUPLING-CONSTANTS FOR RELATIVISTIC WAVE-EQUATIONS AND VACUUM BREAKDOWN IN QUANTUM ELECTRODYNAMICS [J].
HARDEKOPF, G ;
SUCHER, J .
PHYSICAL REVIEW A, 1985, 31 (04) :2020-2029
[6]   SPECTRAL THEORY OF OPERATOR (P2+M2)1/2 - ZE2-R [J].
HERBST, IW .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1977, 53 (03) :285-294
[7]   DYNAMICS OF LIGHT AND HEAVY BOUND QUARKS [J].
KANG, JS ;
SCHNITZER, HJ .
PHYSICAL REVIEW D, 1975, 12 (03) :841-854
[8]   HIGH-ORDER EXPANSION OF THE ENERGY EIGENVALUES OF A RELATIVISTIC COULOMB EQUATION [J].
LEYAOUANC, A ;
OLIVER, L ;
RAYNAL, JC .
ANNALS OF PHYSICS, 1995, 239 (02) :243-271
[9]   QUARK ANTIQUARK BOUND-STATES - RELATIVISTIC VERSUS NONRELATIVISTIC POINT-OF-VIEW [J].
LUCHA, W ;
SCHOBERL, FF .
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1992, 7 (26) :6431-6456
[10]   SPINLESS SALPETER EQUATION AS A SIMPLE MATRIX EIGENVALUE PROBLEM [J].
LUCHA, W ;
RUPPRECHT, H ;
SCHOBERL, FF .
PHYSICAL REVIEW D, 1992, 45 (04) :1233-1239