The behaviour of eigenstates of arithmetic hyperbolic manifolds

Zeév Rudnick, Peter Clive Sarnak

Research output: Contribution to journalArticle

168 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 languageEnglish (US)
Pages (from-to)195-213
Number of pages19
JournalCommunications In Mathematical Physics
Volume161
Issue number1
DOIs
StatePublished - Mar 1 1994

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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