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A note on superintegrability of the quantum Calogero model
被引:19
作者
:
Gonera, C
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Lodz, Dept Field Theory, PL-90236 Lodz, Poland
Univ Lodz, Dept Field Theory, PL-90236 Lodz, Poland
Gonera, C
[
1
]
机构
:
[1]
Univ Lodz, Dept Field Theory, PL-90236 Lodz, Poland
来源
:
PHYSICS LETTERS A
|
1998年
/ 237卷
/ 06期
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
相关论文
共 12 条
[1]
CONFORMAL PROPERTIES OF A CLASS OF EXACTLY SOLVABLE N-BODY PROBLEMS IN SPACE DIMENSION ONE
[J].
BARUCCHI, G
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0
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UNIV TURIN,IST FIS,I-10126 TURIN,ITALY
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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
论文数:
0
引用数:
0
h-index:
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机构:
UNIV ROME, IST FIS, 00185 ROME, ITALY
CALOGERO, F
;
MARCHIORO, C
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0
引用数:
0
h-index:
0
机构:
UNIV ROME, IST FIS, 00185 ROME, ITALY
MARCHIORO, C
.
JOURNAL OF MATHEMATICAL PHYSICS,
1974,
15
(09)
:1425
-1430
[3]
SOLUTION OF A 3-BODY PROBLEM IN ONE DIMENSION
[J].
CALOGERO, F
论文数:
0
引用数:
0
h-index:
0
机构:
Physics Department, Imperial College
CALOGERO, F
.
JOURNAL OF MATHEMATICAL PHYSICS,
1969,
10
(12)
:2191
-&
[4]
GROUND STATE OF A ONE-DIMENSIONAL N-BODY SYSTEM
[J].
CALOGERO, F
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0
引用数:
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Istituto di Fisica, Università di Roma, Istituto Nazionale di Fisica Nucleare Sezione di Roma, Rome
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.
JOURNAL OF MATHEMATICAL PHYSICS,
1969,
10
(12)
:2197
-&
[5]
SOLUTION OF ONE-DIMENSIONAL N-BODY PROBLEMS WITH QUADRATIC AND/OR INVERSELY QUADRATIC PAIR POTENTIALS
[J].
CALOGERO, F
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0
引用数:
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CALOGERO, F
.
JOURNAL OF MATHEMATICAL PHYSICS,
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(03)
:419
-&
[6]
DIFFERENTIAL-DIFFERENCE OPERATORS ASSOCIATED TO REFLECTION GROUPS
[J].
DUNKL, CF
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0
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DUNKL, CF
.
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,
1989,
311
(01)
:167
-183
[7]
GONERA C, CALOGERO MODEL SL 2
[8]
Hidden symmetry of the quantum Calogero-Moser system
[J].
Kuznetsov, VB
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Dept. of Appl. Mathematical Studies, University of Leeds
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PHYSICS LETTERS A,
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[9]
INTEGRABILITY AND A SOLUTION FOR ONE-DIMENSIONAL N-PARTICLE SYSTEM WITH INVERSELY QUADRATIC PAIR POTENTIALS
[J].
SAWADA, K
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TOKYO UNIV EDUC,DEPT PHYS,TOKYO,JAPAN
TOKYO UNIV EDUC,DEPT PHYS,TOKYO,JAPAN
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;
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0
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TOKYO UNIV EDUC,DEPT PHYS,TOKYO,JAPAN
TOKYO UNIV EDUC,DEPT PHYS,TOKYO,JAPAN
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
论文数:
0
引用数:
0
h-index:
0
WOJCIECHOWSKI, S
.
PHYSICS LETTERS A,
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64
(03)
:273
-275
←
1
2
→
共 12 条
[1]
CONFORMAL PROPERTIES OF A CLASS OF EXACTLY SOLVABLE N-BODY PROBLEMS IN SPACE DIMENSION ONE
[J].
BARUCCHI, G
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV TURIN,IST FIS,I-10126 TURIN,ITALY
BARUCCHI, G
;
REGGE, T
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV TURIN,IST FIS,I-10126 TURIN,ITALY
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
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV ROME, IST FIS, 00185 ROME, ITALY
CALOGERO, F
;
MARCHIORO, C
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV ROME, IST FIS, 00185 ROME, ITALY
MARCHIORO, C
.
JOURNAL OF MATHEMATICAL PHYSICS,
1974,
15
(09)
:1425
-1430
[3]
SOLUTION OF A 3-BODY PROBLEM IN ONE DIMENSION
[J].
CALOGERO, F
论文数:
0
引用数:
0
h-index:
0
机构:
Physics Department, Imperial College
CALOGERO, F
.
JOURNAL OF MATHEMATICAL PHYSICS,
1969,
10
(12)
:2191
-&
[4]
GROUND STATE OF A ONE-DIMENSIONAL N-BODY SYSTEM
[J].
CALOGERO, F
论文数:
0
引用数:
0
h-index:
0
机构:
Istituto di Fisica, Università di Roma, Istituto Nazionale di Fisica Nucleare Sezione di Roma, Rome
CALOGERO, F
.
JOURNAL OF MATHEMATICAL PHYSICS,
1969,
10
(12)
:2197
-&
[5]
SOLUTION OF ONE-DIMENSIONAL N-BODY PROBLEMS WITH QUADRATIC AND/OR INVERSELY QUADRATIC PAIR POTENTIALS
[J].
CALOGERO, F
论文数:
0
引用数:
0
h-index:
0
CALOGERO, F
.
JOURNAL OF MATHEMATICAL PHYSICS,
1971,
12
(03)
:419
-&
[6]
DIFFERENTIAL-DIFFERENCE OPERATORS ASSOCIATED TO REFLECTION GROUPS
[J].
DUNKL, CF
论文数:
0
引用数:
0
h-index:
0
DUNKL, CF
.
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,
1989,
311
(01)
:167
-183
[7]
GONERA C, CALOGERO MODEL SL 2
[8]
Hidden symmetry of the quantum Calogero-Moser system
[J].
Kuznetsov, VB
论文数:
0
引用数:
0
h-index:
0
机构:
Dept. of Appl. Mathematical Studies, University of Leeds
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
论文数:
0
引用数:
0
h-index:
0
机构:
TOKYO UNIV EDUC,DEPT PHYS,TOKYO,JAPAN
TOKYO UNIV EDUC,DEPT PHYS,TOKYO,JAPAN
SAWADA, K
;
KOTERA, T
论文数:
0
引用数:
0
h-index:
0
机构:
TOKYO UNIV EDUC,DEPT PHYS,TOKYO,JAPAN
TOKYO UNIV EDUC,DEPT PHYS,TOKYO,JAPAN
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
论文数:
0
引用数:
0
h-index:
0
WOJCIECHOWSKI, S
.
PHYSICS LETTERS A,
1977,
64
(03)
:273
-275
←
1
2
→