On the multiplicativity of quantum cat maps

F Mezzadri

doi:10.1088/0951-7715/15/3/323

On the multiplicativity of quantum cat maps

F Mezzadri

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

10 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 contribution	On the multiplicativity of quantum cat maps
Original language	English
Pages (from-to)	905 - 922
Number of pages	18
Journal	Nonlinearity
Volume	15 (3)
DOIs	https://doi.org/10.1088/0951-7715/15/3/323
Publication status	Published - May 2002

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

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title = "On the multiplicativity of quantum cat maps",

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.",

author = "F Mezzadri",

note = "Publisher: IOP Publishing Ltd Other identifier: IDS number 553VV",

year = "2002",

month = may,

doi = "10.1088/0951-7715/15/3/323",

language = "English",

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T1 - On the multiplicativity of quantum cat maps

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N1 - Publisher: IOP Publishing Ltd Other identifier: IDS number 553VV

PY - 2002/5

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N2 - 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.

AB - 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.

U2 - 10.1088/0951-7715/15/3/323

DO - 10.1088/0951-7715/15/3/323

M3 - Article (Academic Journal)

SN - 1361-6544

VL - 15 (3)

SP - 905

EP - 922

JO - Nonlinearity

JF - Nonlinearity

ER -

On the multiplicativity of quantum cat maps

Abstract

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