Some mathematical problems in the theory of quantum chaos

Ya G. Sinai

doi:10.1016/0378-4371(90)90329-Q

Some mathematical problems in the theory of quantum chaos

Ya G. Sinai

Research output: Contribution to journal › Article › peer-review

24 Scopus citations

Abstract

We discuss the general problem of distribution of spacings between levels in quantum problems. For the quantum kicked rotator model we formulate the results on the Poisson distribution for spacings. Some general remarks concerning the reasons for the appearance of this distribution are given.

Original language	English (US)
Pages (from-to)	197-204
Number of pages	8
Journal	Physica A: Statistical Mechanics and its Applications
Volume	163
Issue number	1
DOIs	https://doi.org/10.1016/0378-4371(90)90329-Q
State	Published - Feb 1 1990

All Science Journal Classification (ASJC) codes

Statistics and Probability
Condensed Matter Physics

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abstract = "We discuss the general problem of distribution of spacings between levels in quantum problems. For the quantum kicked rotator model we formulate the results on the Poisson distribution for spacings. Some general remarks concerning the reasons for the appearance of this distribution are given.",

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Some mathematical problems in the theory of quantum chaos

Abstract

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