Zeros in analytic representations of finite quantum systems on a torus

被引：3

作者：

Tubani, M. ^{[1
]}

Vourdas, A. ^{[1
]}

Zhang, S. ^{[1
]}

机构：

[1] Univ Bradford, Dept Comp, Bradford BD7 1DP, W Yorkshire, England

来源：

PHYSICA SCRIPTA | 2010年 / 82卷 / 03期

关键词：

HILBERT-SPACE; BARGMANN REPRESENTATION; INTEGRAL TRANSFORM; BILLIARDS; CHAOS; STATE;

D O I：

10.1088/0031-8949/82/03/038107

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

An analytic representation of finite quantum systems with positions and momenta in Z(d) is considered. Quantum states are represented by analytic functions on a torus, which have exactly d zeros. The d paths zeta(n)(t) of the zeros on the torus, as the system evolves in time, define the quantum system. Special cases where m of the zeros follow the same path are also studied. The general ideas are demonstrated with several examples.

引用

页数：9

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