On a "quantum chaos" theorem of R. Schrader and M. Taylor

Steven Zelditch

doi:10.1016/0022-1236(92)90009-8

On a "quantum chaos" theorem of R. Schrader and M. Taylor

Steven Zelditch^*

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

Abstract

We extend results of R. Schrader and M. Taylor on the semi-classical asymptotics of eigenfunctions of a quantum Hamiltonian for a particle in a gauge field. Our method is based on the Guillemin-Sternberg-Uribe theory of "fuzzy ladders" and reductions of Hamiltonian systems with symmetry.

Original language	English (US)
Pages (from-to)	1-21
Number of pages	21
Journal	Journal of Functional Analysis
Volume	109
Issue number	1
DOIs	https://doi.org/10.1016/0022-1236(92)90009-8
State	Published - Oct 1992

ASJC Scopus subject areas

Analysis

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10.1016/0022-1236(92)90009-8

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abstract = "We extend results of R. Schrader and M. Taylor on the semi-classical asymptotics of eigenfunctions of a quantum Hamiltonian for a particle in a gauge field. Our method is based on the Guillemin-Sternberg-Uribe theory of {"}fuzzy ladders{"} and reductions of Hamiltonian systems with symmetry.",

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AB - We extend results of R. Schrader and M. Taylor on the semi-classical asymptotics of eigenfunctions of a quantum Hamiltonian for a particle in a gauge field. Our method is based on the Guillemin-Sternberg-Uribe theory of "fuzzy ladders" and reductions of Hamiltonian systems with symmetry.

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On a "quantum chaos" theorem of R. Schrader and M. Taylor

Abstract

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