Correlations of chaotic eigenfunctions: a semiclassical analysis

DOI10.1088/0305-4470/34/36/317zbMath1022.81014arXivnlin/0109005OpenAlexW3103248078MaRDI QIDQ2766247

Baowen Li, Daniel C. Rouben

Publication date: 27 January 2002

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0109005

zbMATH Keywords

Schrödinger equationtrace formulaeBerry's conjectureBessel function of the zeroth-ordereigenstates of a chaotic billiardenergy-conserved Hamiltonian systemenergy-smoothed autocorrelation function

Mathematics Subject Classification ID

Quantum chaos (81Q50) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)

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