On the multiplicativity of quantum cat maps
نویسنده
چکیده
The quantum mechanical propagators of the linear automorphisms of the two-torus (cat maps) determine a projective unitary representation of the theta group Γ θ ⊂ SL(2, Z). We prove that there exists an appropriate choice of phases in the propagators that defines a proper representation of Γ θ. We also give explicit formulae for the propagators in this representation.
منابع مشابه
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