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Supersymmetric quantum mechanics based on higher excited states
Marko Robnik
We generalize the formalism and the techniques of the supersymmetric (susy) quantum mechanics to the cases where the superpotential is generated/defined by higher excited eigenstat…
Diffusion and localization in chaotic billiards
Fausto Borgonovi, Giulio Casati, Baowen Li
We study analytically and numerically the classical diffusive process which takes place in a chaotic billiard. This allows to estimate the conditions under which the statistical pr…
WKB to all orders and the accuracy of the semiclassical quantization
Marko Robnik, Luca Salasnich
We perform a systematic WKB expansion to all orders for a one-dimensional system with potential . We are able to sum the series to the exact energy spectrum.…
WKB expansion for the angular momentum and the Kepler problem: from the torus quantization to the exact one
Marko Robnik, Luca Salasnich
We calculate the WKB series for the angular momentum and the non--relativistic 3-dim Kepler problem. This is the first semiclassical treatment of the angular momentum for terms bey…
Quantum corrections to the semiclassical quantization of a nonintegrable system
Luca Salasnich, Marko Robnik
We study the semiclassical behaviour of a two--dimensional nonintegrable system. In particular we analyze the question of quantum corrections to the semiclassical quantization obta…