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- W2068981622 abstract "The quantum dynamics of a free particle on a circle with point interaction is described by a U(2) family of self-adjoint Hamiltonians. We provide a classification of the family by introducing a number of subfamilies and thereby analyze the spectral structure in detail. We find that the spectrum depends on a subset of U(2) parameters rather than the entire U(2) needed for the Hamiltonians, and that in particular there exists a subfamily in U(2) where the spectrum becomes parameter-independent. We also show that, in some specific cases, the WKB semiclassical approximation becomes exact (modulo phases) for the system." @default.
- W2068981622 created "2016-06-24" @default.
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- W2068981622 date "2000-01-01" @default.
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- W2068981622 title "A free particle on a circle with point interaction" @default.
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- W2068981622 doi "https://doi.org/10.1016/s0375-9601(99)00850-6" @default.
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