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 - William Helton, J.

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

Y1 - 1985/3

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.

UR - https://www.scopus.com/pages/publications/46549102462

UR - https://www.scopus.com/pages/publications/46549102462#tab=citedBy

U2 - 10.1016/0167-2789(85)90100-9

DO - 10.1016/0167-2789(85)90100-9

M3 - Article

AN - SCOPUS:46549102462

SN - 0167-2789

VL - 14

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EP - 415

JO - Physica D: Nonlinear Phenomena

JF - Physica D: Nonlinear Phenomena

IS - 3

ER -

On the classical support of quantum mechanical wavefunctions

Abstract

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