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- W1969134431 abstract "For a quantum mechanical system, modeled via unitary or antiunitary representations of a symmetry group G with Lie algebra g, the Hamiltonian H is of special interest. If H is an element of g or of the universal enveloping algebra U(g), a generic time dependence for any element in U(g) is given through the Heisenberg picture. As an example we consider a system with Gal(N) as symmetry group with H as one of the generators. For N≥3 one gets from ray representations the free Schrödinger equation. For N=1 a peculiarity occurs: the ‘‘free’’ equation has an interaction term, which results from the construction and parametrization of unitary ray representations. For N=2 there is another special feature: there exist ray representations of the universal covering group Gal(2)■, which induce no ray representations of Gal(2). Furthermore, for these representations it is not possible to construct a Schrödinger equation." @default.
- W1969134431 created "2016-06-24" @default.
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- W1969134431 date "1995-07-01" @default.
- W1969134431 modified "2023-09-26" @default.
- W1969134431 title "Ray representations of <i>N</i>(≤2)+1‐dimensional Galilean group" @default.
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- W1969134431 doi "https://doi.org/10.1063/1.531026" @default.
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