ASYMPTOTIC COMPLETENESS FOR QUANTUM-MECHANICAL POTENTIAL SCATTERING .2. SINGULAR AND LONG-RANGE POTENTIALS

被引：61

作者：

ENSS, V ^{[1
]}

机构：

[1] INST ADV STUDY,PRINCETON,NJ 08540

来源：

ANNALS OF PHYSICS | 1979年 / 119卷 / 01期

关键词：

D O I：

10.1016/0003-4916(79)90252-5

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The geometrical proof for the asymptotic completeness of the wave operators and the absence of a singular continuous spectrum of the Hamiltonian is extended to cover singular potentials where the Hamiltonian is defined as a form sum, and long-range interactions like Coulomb forces. © 1979.

引用

页码：117 / 132

页数：16

共 9 条

[1] Amrein W. O., 1973, Helvetica Physica Acta, V46, P635
[2] ASYMPTOTIC CONVERGENCE + COULOMB INTERACTION
DOLLARD, JD
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1964, 5 (06) : 729 - &
[3] ASYMPTOTIC COMPLETENESS FOR QUANTUM-MECHANICAL POTENTIAL SCATTERING .1. SHORT-RANGE POTENTIALS
ENSS, V
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1978, 61 (03) : 285 - 291
[4] 2-CLUSTER SCATTERING OF N CHARGED-PARTICLES
ENSS, V
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1979, 65 (02) : 151 - 165
[5] EXISTENCE OF WAVE OPERATORS IN SCATTERING THEORY
HORMANDER, L
[J]. MATHEMATISCHE ZEITSCHRIFT, 1976, 146 (01) : 69 - 91
[6] REED M, 1979, METHODS MODERN MATH, V3
[7] A REMARK ON BOUND STATES IN POTENTIAL-SCATTERING THEORY
RUELLE, D
[J]. NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA A-NUCLEI PARTICLES AND FIELDS, 1969, 61 (04): : 655 - +
[8] Simon, 1975, METHODS MODERN MATH
[9] [No title captured]

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