On connection between the two-body Dirac oscillator and Kemmer oscillators

被引:12
作者
Bednar, M
Ndimubandi, J
Nikitin, AG
机构
[1] NATL ACAD SCI UKRAINE, INST MATH, UA-251004 KIEV 4, UKRAINE
[2] ACAD SCI CZECH REPUBL, INST PHYS, PRAGUE 8, CZECH REPUBLIC
[3] UNIV LIEGE, INST PHYS B5, B-4000 LIEGE 1, BELGIUM
关键词
D O I
10.1139/cjp-75-5-283
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We relate three different approaches to relativistic bosonic oscillators, and find non-Lie constants of motion for them. We show that all these approaches admit hidden parasupersymmetry and point out reducibility of the two-body Dirac oscillator.
引用
收藏
页码:283 / 290
页数:8
相关论文
共 24 条
[1]   ON PARARELATIVISTIC QUANTUM OSCILLATORS [J].
BECKERS, J ;
DEBERGH, N ;
NIKITIN, AG .
JOURNAL OF MATHEMATICAL PHYSICS, 1992, 33 (10) :3387-3392
[2]   SUPERSYMMETRY, FOLDY-WOUTHUYSEN TRANSFORMATIONS, AND RELATIVISTIC OSCILLATORS [J].
BECKERS, J ;
DEBERGH, N .
PHYSICAL REVIEW D, 1990, 42 (04) :1255-1259
[3]   PARASTATISTICS AND SUPERSYMMETRY IN QUANTUM-MECHANICS [J].
BECKERS, J ;
DEBERGH, N .
NUCLEAR PHYSICS B, 1990, 340 (2-3) :767-776
[4]  
BECKERS J, 1990, PHYS REV D, V42, P1225
[5]   CORRECTION [J].
BENITEZ, J .
PHYSICAL REVIEW LETTERS, 1990, 65 (16) :2085-2085
[6]  
BENITEZ J, 1990, PHYS REV LETT, V64, P1643, DOI 10.1103/PhysRevLett.64.1643
[7]   RELATIVISTIC HARMONIC OSCILLATORS WITH INTRINSIC SPIN STRUCTURE [J].
COOK, PA .
LETTERE AL NUOVO CIMENTO, 1971, 1 (10) :419-+
[8]   EXTENSION OF 2-BODY DIRAC EQUATIONS TO GENERAL COVARIANT INTERACTIONS THROUGH A HYPERBOLIC TRANSFORMATION [J].
CRATER, HW ;
VANALSTINE, P .
JOURNAL OF MATHEMATICAL PHYSICS, 1990, 31 (08) :1998-2014
[9]   ON RELATIVISTIC SCALAR AND VECTOR-MESONS WITH HARMONIC OSCILLATOR-LIKE INTERACTIONS [J].
DEBERGH, N ;
NDIMUBANDI, J ;
STRIVAY, D .
ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS, 1992, 56 (03) :421-425
[10]  
DVOYEGLAZOV VV, 1994, NUOVO CIMENTO A, V107, P1785