Note on converse quantum ergodicity

Boris Gutkin

Type: Article

Publication Date: 2009-08-01

Citations: 16

DOI: https://doi.org/10.1090/s0002-9939-09-09849-9

Abstract

Quantum ergodicity asserts that eigenstates of a system with classical ergodic dynamics must be "equidistributed" in the phase space. In the present note we show that the converse is not true. We provide an example of billiards which are quantum ergodic but not classically ergodic.

Locations

Proceedings of the American Mathematical Society - View - PDF

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