On the classical support of quantum mechanical wavefunctions

J. William Helton; M. Tabor

doi:10.1016/0167-2789(85)90100-9

On the classical support of quantum mechanical wavefunctions

J. William Helton, M. Tabor

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

9 Scopus citations

Abstract

The nature of the classical support of quantum-mechanical wave-functions is examined in the limit ℏ → 0. We prove that a sequence of states can only localize to those regions of phase space supporting an invariant measure.

Original language	English (US)
Pages (from-to)	409-415
Number of pages	7
Journal	Physica D: Nonlinear Phenomena
Volume	14
Issue number	3
DOIs	https://doi.org/10.1016/0167-2789(85)90100-9
State	Published - Mar 1985
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
Condensed Matter Physics
Applied Mathematics

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10.1016/0167-2789(85)90100-9

Cite this

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title = "On the classical support of quantum mechanical wavefunctions",

abstract = "The nature of the classical support of quantum-mechanical wave-functions is examined in the limit ℏ → 0. We prove that a sequence of states can only localize to those regions of phase space supporting an invariant measure.",

author = "{William Helton}, J. and M. Tabor",

note = "Funding Information: fSupported by the National Science Foundation. ,This work supported in part by U.S. Department of Energy contract DOE-10923 and U.S. Air Force grant AFOSR83-0095.",

year = "1985",

month = mar,

doi = "10.1016/0167-2789(85)90100-9",

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AU - Tabor, M.

N1 - Funding Information: fSupported by the National Science Foundation. ,This work supported in part by U.S. Department of Energy contract DOE-10923 and U.S. Air Force grant AFOSR83-0095.

PY - 1985/3

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N2 - The nature of the classical support of quantum-mechanical wave-functions is examined in the limit ℏ → 0. We prove that a sequence of states can only localize to those regions of phase space supporting an invariant measure.

AB - The nature of the classical support of quantum-mechanical wave-functions is examined in the limit ℏ → 0. We prove that a sequence of states can only localize to those regions of phase space supporting an invariant measure.

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JO - Physica D: Nonlinear Phenomena

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On the classical support of quantum mechanical wavefunctions

Abstract

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