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.
Bibliographical notePublisher: IOP Publishing Ltd
Other identifier: IDS number 553VV