Discordance between quantum and classical correlation moments for chaotic systems

JM Robbins; MV Berry

doi:10.1088/0305-4470/25/15/011

Discordance between quantum and classical correlation moments for chaotic systems

JM Robbins, MV Berry

Research output: Contribution to journal › Article (Academic Journal) › peer-review

24 Citations (Scopus)

Abstract

For systems whose classical orbits are chaotic, a set of quantum expectation values Q_r is constructed which vanish for all, unlike their classical counterparts C_r which are finite. This behaviour is not paradoxical because Q_r and C_r are moments of time correlation functions, which are dominated by the long-time limit where the quantum and classical evolution disagree.

Translated title of the contribution	Discordance between quantum and classical correlation moments for chaotic systems
Original language	English
Pages (from-to)	961-965
Number of pages	4
Journal	Journal of Physics A: Mathematical and General
Volume	25
Issue number	15
DOIs	https://doi.org/10.1088/0305-4470/25/15/011
Publication status	Published - 1992

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title = "Discordance between quantum and classical correlation moments for chaotic systems",

abstract = "For systems whose classical orbits are chaotic, a set of quantum expectation values Qr is constructed which vanish for all, unlike their classical counterparts Cr which are finite. This behaviour is not paradoxical because Qr and Cr are moments of time correlation functions, which are dominated by the long-time limit where the quantum and classical evolution disagree. ",

author = "JM Robbins and MV Berry",

year = "1992",

doi = "10.1088/0305-4470/25/15/011",

language = "English",

volume = "25",

pages = "961--965",

journal = "Journal of Physics A: Mathematical and General",

issn = "0305-4470",

publisher = "IOP Publishing",

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TY - JOUR

T1 - Discordance between quantum and classical correlation moments for chaotic systems

AU - Robbins, JM

AU - Berry, MV

PY - 1992

Y1 - 1992

N2 - For systems whose classical orbits are chaotic, a set of quantum expectation values Qr is constructed which vanish for all, unlike their classical counterparts Cr which are finite. This behaviour is not paradoxical because Qr and Cr are moments of time correlation functions, which are dominated by the long-time limit where the quantum and classical evolution disagree.

AB - For systems whose classical orbits are chaotic, a set of quantum expectation values Qr is constructed which vanish for all, unlike their classical counterparts Cr which are finite. This behaviour is not paradoxical because Qr and Cr are moments of time correlation functions, which are dominated by the long-time limit where the quantum and classical evolution disagree.

U2 - 10.1088/0305-4470/25/15/011

DO - 10.1088/0305-4470/25/15/011

M3 - Article (Academic Journal)

SN - 0305-4470

VL - 25

SP - 961

EP - 965

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

IS - 15

ER -

Discordance between quantum and classical correlation moments for chaotic systems

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