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Quantum ergodicity on the sphere

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Abstract

We prove that a random orthonormal basis of eigenfunctions on the standard sphere has quantum ergodic behavior.

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Authors and Affiliations

  1. Department of Mathematics, The Johns Hopkins University, 21218, Baltimore, MD, USA

    Steven Zelditch

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  1. Steven Zelditch
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Communicated by Ya.G. Sinai

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Zelditch, S. Quantum ergodicity on the sphere. Commun.Math. Phys. 146, 61–71 (1992). https://doi.org/10.1007/BF02099207

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  • DOI: https://doi.org/10.1007/BF02099207

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