Quantum leaks

J Marklof

doi:10.1007/s00220-005-1467-6

Quantum leaks

J Marklof

Research output: Contribution to journal › Article (Academic Journal) › peer-review

2 Citations (Scopus)

Abstract

We show that eigenfunctions of the Laplacian on certain non-compact domains with finite area may localize at infinity - provided there is no extreme level clustering - and thus rule out quantum unique ergodicity for such systems. The construction is elementary and based on 'bouncing ball' quasimodes whose discrepancy is proved to be significantly smaller than the mean level spacing.

Translated title of the contribution	Quantum leaks
Original language	English
Pages (from-to)	303 - 316
Number of pages	14
Journal	Communications in Mathematical Physics
Volume	264 (2)
DOIs	https://doi.org/10.1007/s00220-005-1467-6
Publication status	Published - Jun 2006

Bibliographical note

Publisher: Springer
Other identifier: IDS number 034FT

Access to Document

10.1007/s00220-005-1467-6

http://www.springerlink.com/content/y20335406h687165/fulltext.pdf

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EQUIDISTRIBUTATION EXPONENTIAL SUMS AND QUANTUM CHAOS
Marklof, J.
1/10/01 → 1/10/06
Project: Research

Cite this

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abstract = "We show that eigenfunctions of the Laplacian on certain non-compact domains with finite area may localize at infinity - provided there is no extreme level clustering - and thus rule out quantum unique ergodicity for such systems. The construction is elementary and based on 'bouncing ball' quasimodes whose discrepancy is proved to be significantly smaller than the mean level spacing.",

author = "J Marklof",

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year = "2006",

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doi = "10.1007/s00220-005-1467-6",

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AB - We show that eigenfunctions of the Laplacian on certain non-compact domains with finite area may localize at infinity - provided there is no extreme level clustering - and thus rule out quantum unique ergodicity for such systems. The construction is elementary and based on 'bouncing ball' quasimodes whose discrepancy is proved to be significantly smaller than the mean level spacing.

U2 - 10.1007/s00220-005-1467-6

DO - 10.1007/s00220-005-1467-6

M3 - Article (Academic Journal)

SN - 1432-0916

VL - 264 (2)

SP - 303

EP - 316

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

ER -

Quantum leaks

Abstract

Bibliographical note

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EQUIDISTRIBUTATION EXPONENTIAL SUMS AND QUANTUM CHAOS

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