On the rate of quantum ergodicity in Euclidean billiards

For a large class of quantized ergodic flows the quantum ergodicity theorem due to Shnirelman, Zelditch, Colin de Verdière and others states that almost all eigenfunctions become equidistributed in the semiclassical limit. In this work we first give a short introduction to the formulation of the qua...

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Veröffentlicht in:	arXiv.org 1997-09
Hauptverfasser:	Bäcker, A, Schubert, R, Stifter, P
Format:	Artikel
Sprache:	eng
Schlagworte:	Billiards Decay rate Eigenvectors Ergodic processes Gaussian distribution Mathematical models Normal distribution Quantum mechanics Quantum theory Theorems Variations
Online-Zugang:	Volltext
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