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- W2019934322 abstract "It is shown how a variety of periodic-orbit sum rules can be used to extract information about a quantum mechanical system, whose classical counterpart is completely chaotic, from knowledge only of the classical system, and vice versa. The basis is the Selberg trace formula, an exact analogue for the Hadamard-Gutzwiller model of the semiclassical periodic-orbit theory of Gutzwiller, which relates the quantal energies to the lengths of the periodic orbits of the classical system. Statistical properties of the quantal energies in the low-energy region are studied, where we restrict ourselves to the level spacing and spectral rigidity." @default.
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- W2019934322 date "1989-10-01" @default.
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- W2019934322 title "Periodic-orbit sum rules for the Hadamard-Gutzwiller model" @default.
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- W2019934322 doi "https://doi.org/10.1016/0167-2789(89)90003-1" @default.
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