The behaviour of eigenstates of arithmetic hyperbolic manifolds

Zeév Rudnick; Peter Sarnak

doi:10.1007/BF02099418

The behaviour of eigenstates of arithmetic hyperbolic manifolds

Zeév Rudnick, Peter Sarnak

Mathematics

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224 Scopus citations

Abstract

In this paper we study some problems arising from the theory of Quantum Chaos, in the context of arithmetic hyperbolic manifolds. We show that there is no strong localization ("scarring") onto totally geodesic submanifolds. Arithmetic examples are given, which show that the random wave model for eigenstates does not apply universally in 3 degrees of freedom.

Original language	English (US)
Pages (from-to)	195-213
Number of pages	19
Journal	Communications In Mathematical Physics
Volume	161
Issue number	1
DOIs	https://doi.org/10.1007/BF02099418
State	Published - Mar 1994

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/BF02099418

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The behaviour of eigenstates of arithmetic hyperbolic manifolds

Abstract

All Science Journal Classification (ASJC) codes

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