A semiclassical quantization of area-preserving maps

M. Tabor

doi:10.1016/0167-2789(83)90005-2

A semiclassical quantization of area-preserving maps

M. Tabor

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

79 Scopus citations

Abstract

A semiclassical path integral formalism is developed for a class of area-preserving maps. The quasi-energy spectrum of these systems is represented as a sum over closed orbits in the manner of Gutzwiller. The method is illustrated with some numerical tests of the "standard map".

Original language	English (US)
Pages (from-to)	195-210
Number of pages	16
Journal	Physica D: Nonlinear Phenomena
Volume	6
Issue number	2
DOIs	https://doi.org/10.1016/0167-2789(83)90005-2
State	Published - Jan 1983
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(83)90005-2

Cite this

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title = "A semiclassical quantization of area-preserving maps",

abstract = "A semiclassical path integral formalism is developed for a class of area-preserving maps. The quasi-energy spectrum of these systems is represented as a sum over closed orbits in the manner of Gutzwiller. The method is illustrated with some numerical tests of the {"}standard map{"}.",

author = "M. Tabor",

note = "Funding Information: Research Funds of La Jolla Institute and Department of Energy Contract DOE 10923.",

year = "1983",

month = jan,

doi = "10.1016/0167-2789(83)90005-2",

language = "English (US)",

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journal = "Physica D: Nonlinear Phenomena",

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AU - Tabor, M.

N1 - Funding Information: Research Funds of La Jolla Institute and Department of Energy Contract DOE 10923.

PY - 1983/1

Y1 - 1983/1

N2 - A semiclassical path integral formalism is developed for a class of area-preserving maps. The quasi-energy spectrum of these systems is represented as a sum over closed orbits in the manner of Gutzwiller. The method is illustrated with some numerical tests of the "standard map".

AB - A semiclassical path integral formalism is developed for a class of area-preserving maps. The quasi-energy spectrum of these systems is represented as a sum over closed orbits in the manner of Gutzwiller. The method is illustrated with some numerical tests of the "standard map".

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U2 - 10.1016/0167-2789(83)90005-2

DO - 10.1016/0167-2789(83)90005-2

M3 - Article

AN - SCOPUS:49049127669

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EP - 210

JO - Physica D: Nonlinear Phenomena

JF - Physica D: Nonlinear Phenomena

SN - 0167-2789

IS - 2

ER -

A semiclassical quantization of area-preserving maps

Abstract

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