On the multiplicativity of quantum cat maps

Research output: Contribution to journalArticle (Academic Journal)peer-review

9 Citations (Scopus)

Abstract

The quantum mechanical propagators of the linear automorphisms of the two-torus (cat maps) determine a projective unitary representation of the theta group Gamma(theta) subset of SL(2, Z). We prove that there exists an appropriate choice of phases in the propagators that defines a proper representation of Gamma(theta). We also give explicit formulae for the propagators in this representation.
Translated title of the contributionOn the multiplicativity of quantum cat maps
Original languageEnglish
Pages (from-to)905 - 922
Number of pages18
JournalNonlinearity
Volume15 (3)
DOIs
Publication statusPublished - May 2002

Bibliographical note

Publisher: IOP Publishing Ltd
Other identifier: IDS number 553VV

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