Quantum Leaks

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• 作者：Jens Marklof
• 刊名：Communications in Mathematical Physics
• 出版年：2006
• 出版时间：June 2006
• 年：2006
• 卷：264
• 期：2
• 页码：303-316
• 全文大小：193 KB
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Mathematical and Computational Physics
  Quantum Physics
  Quantum Computing, Information and Physics
  Complexity
  Statistical Physics
  Relativity and Cosmology
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1432-0916

文摘

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.