关于量子猫映射的乘性
On the multiplicativity of quantum cat maps
摘要：
两个环面的线性自同构（猫映射）的量子力学传播子决定了θ群的投影幺正表示，称为韦伊表示。我们证明，存在一个适当的选择阶段的传播，定义了一个适当的表示的θ组。我们也给出了明确的公式在此表示的传播。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
