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- W2067132809 abstract "We present a rigorous path integral treatment of free motion on the Poincaré upper half plane. The Poincaré upper half plane, as a riemannian manifold, has recently become important in string theory and in the theory of quantum chaos. The calculation is done by a time-transformation and the use of the canonical method for determining quantum corrections to the classical lagrangian. Furthermore, we shall show that the same method also works for Liouville quantum mechanics. In both cases, the energy spectrum and the normalized wavefunctions are determined." @default.
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- W2067132809 title "The path integral on the Poincaré upper half plane and for Liouville quantum mechanics" @default.
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- W2067132809 doi "https://doi.org/10.1016/0375-9601(87)90387-2" @default.
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