On the multiplicativity of quantum cat maps

Details On the multiplicativity of quantum cat maps On the multiplicativity of quantum cat maps

2001-10-23

arxiv.org/abs/math-ph/0110028v2

Nonlinearity 15 (2002) 905-922

Physics

Mathematical Physics

Revised version: proof of the main theorem simplified. 21 pages

Scientific paper

10.1088/0951-7715/15/3/323

The quantum mechanical propagators of the linear automorphisms of the two-torus (cat maps) determine a projective unitary representation of the theta group, known as Weil's representation. We prove that there exists an appropriate choice of phases in the propagators that defines a proper representation of the theta group. We also give explicit formulae for the propagators in this representation.

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