Quantum Ergodicity of Boundary values of Eigenfunctions

Hassell, Andrew; Zelditch, Steve

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Quantum Ergodicity of Boundary values of Eigenfunctions

Date

2004

Authors

Hassell, Andrew

Zelditch, Steve

Publisher

Harwood Academic Publishers

Abstract

Suppose that Ω ⊂ ℝn is a bounded, piecewise smooth domain. We prove that the boundary values (Cauchy data) of eigenfunctions of the Laplacian on Ω with various boundary conditions are quantum ergodic if the classical billiard map β on the ball bund

URI

http://hdl.handle.net/1885/87229

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ANU Research Publications

Source

Communications in Mathematical Physics

Type

Journal article

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Quantum Ergodicity of Boundary values of Eigenfunctions

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