A note on superintegrability of the quantum Calogero model

被引:19
作者
Gonera, C [1 ]
机构
[1] Univ Lodz, Dept Field Theory, PL-90236 Lodz, Poland
关键词
D O I
10.1016/S0375-9601(98)00903-7
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A simple proof of the superintegrability of the quantum Calogero model based on the sL(2,R) symmetry is presented. (C) 1998 Elsevier Science B.V.
引用
收藏
页码:365 / 368
页数:4
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共 12 条
[1]   CONFORMAL PROPERTIES OF A CLASS OF EXACTLY SOLVABLE N-BODY PROBLEMS IN SPACE DIMENSION ONE [J].
BARUCCHI, G ;
REGGE, T .
JOURNAL OF MATHEMATICAL PHYSICS, 1977, 18 (06) :1149-1153
[2]   EXACT SOLUTION OF A ONE-DIMENSIONAL 3-BODY SCATTERING PROBLEM WITH 2-BODY AND OR 3-BODY INVERSE-SQUARE POTENTIALS [J].
CALOGERO, F ;
MARCHIORO, C .
JOURNAL OF MATHEMATICAL PHYSICS, 1974, 15 (09) :1425-1430
[3]   SOLUTION OF A 3-BODY PROBLEM IN ONE DIMENSION [J].
CALOGERO, F .
JOURNAL OF MATHEMATICAL PHYSICS, 1969, 10 (12) :2191-&
[4]   GROUND STATE OF A ONE-DIMENSIONAL N-BODY SYSTEM [J].
CALOGERO, F .
JOURNAL OF MATHEMATICAL PHYSICS, 1969, 10 (12) :2197-&
[7]  
GONERA C, CALOGERO MODEL SL 2
[8]   Hidden symmetry of the quantum Calogero-Moser system [J].
Kuznetsov, VB .
PHYSICS LETTERS A, 1996, 218 (3-6) :212-222
[9]   INTEGRABILITY AND A SOLUTION FOR ONE-DIMENSIONAL N-PARTICLE SYSTEM WITH INVERSELY QUADRATIC PAIR POTENTIALS [J].
SAWADA, K ;
KOTERA, T .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1975, 39 (06) :1614-1618
[10]   REPRESENTATIONS OF ALGEBRA SL(2,R) AND INTEGRATION OF HAMILTONIAN SYSTEMS [J].
WOJCIECHOWSKI, S .
PHYSICS LETTERS A, 1977, 64 (03) :273-275