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ASYMPTOTIC COMPLETENESS FOR N-BODY SHORT-RANGE QUANTUM-SYSTEMS - A NEW PROOF
被引:101
作者
:
GRAF, GM
论文数:
0
引用数:
0
h-index:
0
机构:
Institut für Theoretische Physik, ETH-Hönggerberg, Zürich
GRAF, GM
机构
:
[1]
Institut für Theoretische Physik, ETH-Hönggerberg, Zürich
来源
:
COMMUNICATIONS IN MATHEMATICAL PHYSICS
|
1990年
/ 132卷
/ 01期
关键词
:
D O I
:
10.1007/BF02278000
中图分类号
:
O4 [物理学];
学科分类号
:
0702 ;
摘要
:
We give an alternative geometrical proof of asymptotic completeness for an arbitrary number of quantum particles interacting through shortrange pair potentials. It relies on an estimate showing that the intercluster motion concentrates asymptotically on classical trajectories. © 1990 Springer-Verlag.
引用
收藏
页码:73 / 101
页数:29
相关论文
共 24 条
[1]
[Anonymous], 1987, SCHRODINGER OPERATOR
[2]
TIME-DEPENDENT APPROACH TO COMPLETENESS OF MULTIPARTICLE QUANTUM SYSTEMS
DEIFT, P
论文数:
0
引用数:
0
h-index:
0
机构:
NYU,COURANT INST MATH SCI,NEW YORK,NY 10012
DEIFT, P
SIMON, B
论文数:
0
引用数:
0
h-index:
0
机构:
NYU,COURANT INST MATH SCI,NEW YORK,NY 10012
SIMON, B
[J].
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS,
1977,
30
(05)
: 573
-
583
[3]
POINTWISE BOUNDS ON EIGENFUNCTIONS AND WAVE PACKETS IN N-BODY QUANTUM SYSTEMS-IV
DEIFT, P
论文数:
0
引用数:
0
h-index:
0
机构:
ETH,INST THEORET PHYS,CH-8093 ZURICH,SWITZERLAND
DEIFT, P
HUNZIKER, W
论文数:
0
引用数:
0
h-index:
0
机构:
ETH,INST THEORET PHYS,CH-8093 ZURICH,SWITZERLAND
HUNZIKER, W
SIMON, B
论文数:
0
引用数:
0
h-index:
0
机构:
ETH,INST THEORET PHYS,CH-8093 ZURICH,SWITZERLAND
SIMON, B
VOCK, E
论文数:
0
引用数:
0
h-index:
0
机构:
ETH,INST THEORET PHYS,CH-8093 ZURICH,SWITZERLAND
VOCK, E
[J].
COMMUNICATIONS IN MATHEMATICAL PHYSICS,
1978,
64
(01)
: 1
-
34
[4]
A NEW PROOF OF THE PROPAGATION THEOREM FOR N-BODY QUANTUM-SYSTEMS
DEREZINSKI, J
论文数:
0
引用数:
0
h-index:
0
DEREZINSKI, J
[J].
COMMUNICATIONS IN MATHEMATICAL PHYSICS,
1989,
122
(02)
: 203
-
231
[5]
ENSS V, 1986, LECT NOTES MATH, V1218, P61
[6]
ASYMPTOTIC COMPLETENESS FOR QUANTUM-MECHANICAL POTENTIAL SCATTERING .2. SINGULAR AND LONG-RANGE POTENTIALS
ENSS, V
论文数:
0
引用数:
0
h-index:
0
机构:
INST ADV STUDY,PRINCETON,NJ 08540
INST ADV STUDY,PRINCETON,NJ 08540
ENSS, V
[J].
ANNALS OF PHYSICS,
1979,
119
(01)
: 117
-
132
[7]
ASYMPTOTIC COMPLETENESS FOR QUANTUM-MECHANICAL POTENTIAL SCATTERING .1. SHORT-RANGE POTENTIALS
ENSS, V
论文数:
0
引用数:
0
h-index:
0
ENSS, V
[J].
COMMUNICATIONS IN MATHEMATICAL PHYSICS,
1978,
61
(03)
: 285
-
291
[8]
ENSS V, 1983, LECT NOTES MATH, V1031, P62
[9]
A NEW PROOF OF THE MOURRE ESTIMATE
FROESE, R
论文数:
0
引用数:
0
h-index:
0
FROESE, R
HERBST, I
论文数:
0
引用数:
0
h-index:
0
HERBST, I
[J].
DUKE MATHEMATICAL JOURNAL,
1982,
49
(04)
: 1075
-
1085
[10]
GRAF GM, 1990, HELV PHYS ACTA, V63, P107
←
1
2
3
→
共 24 条
[1]
[Anonymous], 1987, SCHRODINGER OPERATOR
[2]
TIME-DEPENDENT APPROACH TO COMPLETENESS OF MULTIPARTICLE QUANTUM SYSTEMS
DEIFT, P
论文数:
0
引用数:
0
h-index:
0
机构:
NYU,COURANT INST MATH SCI,NEW YORK,NY 10012
DEIFT, P
SIMON, B
论文数:
0
引用数:
0
h-index:
0
机构:
NYU,COURANT INST MATH SCI,NEW YORK,NY 10012
SIMON, B
[J].
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS,
1977,
30
(05)
: 573
-
583
[3]
POINTWISE BOUNDS ON EIGENFUNCTIONS AND WAVE PACKETS IN N-BODY QUANTUM SYSTEMS-IV
DEIFT, P
论文数:
0
引用数:
0
h-index:
0
机构:
ETH,INST THEORET PHYS,CH-8093 ZURICH,SWITZERLAND
DEIFT, P
HUNZIKER, W
论文数:
0
引用数:
0
h-index:
0
机构:
ETH,INST THEORET PHYS,CH-8093 ZURICH,SWITZERLAND
HUNZIKER, W
SIMON, B
论文数:
0
引用数:
0
h-index:
0
机构:
ETH,INST THEORET PHYS,CH-8093 ZURICH,SWITZERLAND
SIMON, B
VOCK, E
论文数:
0
引用数:
0
h-index:
0
机构:
ETH,INST THEORET PHYS,CH-8093 ZURICH,SWITZERLAND
VOCK, E
[J].
COMMUNICATIONS IN MATHEMATICAL PHYSICS,
1978,
64
(01)
: 1
-
34
[4]
A NEW PROOF OF THE PROPAGATION THEOREM FOR N-BODY QUANTUM-SYSTEMS
DEREZINSKI, J
论文数:
0
引用数:
0
h-index:
0
DEREZINSKI, J
[J].
COMMUNICATIONS IN MATHEMATICAL PHYSICS,
1989,
122
(02)
: 203
-
231
[5]
ENSS V, 1986, LECT NOTES MATH, V1218, P61
[6]
ASYMPTOTIC COMPLETENESS FOR QUANTUM-MECHANICAL POTENTIAL SCATTERING .2. SINGULAR AND LONG-RANGE POTENTIALS
ENSS, V
论文数:
0
引用数:
0
h-index:
0
机构:
INST ADV STUDY,PRINCETON,NJ 08540
INST ADV STUDY,PRINCETON,NJ 08540
ENSS, V
[J].
ANNALS OF PHYSICS,
1979,
119
(01)
: 117
-
132
[7]
ASYMPTOTIC COMPLETENESS FOR QUANTUM-MECHANICAL POTENTIAL SCATTERING .1. SHORT-RANGE POTENTIALS
ENSS, V
论文数:
0
引用数:
0
h-index:
0
ENSS, V
[J].
COMMUNICATIONS IN MATHEMATICAL PHYSICS,
1978,
61
(03)
: 285
-
291
[8]
ENSS V, 1983, LECT NOTES MATH, V1031, P62
[9]
A NEW PROOF OF THE MOURRE ESTIMATE
FROESE, R
论文数:
0
引用数:
0
h-index:
0
FROESE, R
HERBST, I
论文数:
0
引用数:
0
h-index:
0
HERBST, I
[J].
DUKE MATHEMATICAL JOURNAL,
1982,
49
(04)
: 1075
-
1085
[10]
GRAF GM, 1990, HELV PHYS ACTA, V63, P107
←
1
2
3
→