WAVE CHAOS IN QUANTUM-SYSTEMS WITH POINT INTERACTION

被引：33

作者：

ALBEVERIO, S

SEBA, P

机构：

[1] BIBOS RES CTR,CERFIM,LOCARNO,SWITZERLAND

[2] UNIV ESSEN GESAMTHSCH,DEPT PHYS,W-4300 ESSEN 1,GERMANY

来源：

JOURNAL OF STATISTICAL PHYSICS | 1991年 / 64卷 / 1-2期

关键词：

WAVE CHAOS; QUANTUM CHAOS; POINT INTERACTIONS; QUANTIZATION; SPACING OF EIGENVALUES; RANDOM MATRIX THEORY; INTEGRABLE SYSTEMS; POISSON LEVEL STATISTICS; WIGNER STATISTICS; SOLVABLE MODELS OF QUANTUM MECHANICS;

D O I：

10.1007/BF01057882

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study perturbations triple over-dot H of the quantized version triple over-dot H0 of integrable Hamiltonian systems by point interactions. We relate the eigenvalues of triple over-dot H to the zeros of a certain meromorphic function xi. Assuming the eigenvalues of triple over-dot H0 are Poisson distributed, we get detailed information on the joint distribution of the zeros of zeta and give bounds on the probability density for the spacings of eigenvalues of triple over-dot H. Our results confirm the "wave chaos" phenomenon, as different from the "quantum chaos" phenomenon predicted by random matrix theory.

引用

页码：369 / 383

页数：15

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