QUANTUM, CLASSICAL AND SEMICLASSICAL ADIABATICITY

作者: M.V. Berry

DOI: 10.1016/B978-0-444-87707-9.50014-2

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摘要: Adiabatic theorems are reviewed, and an asymptotic connection established between quantum classical anholonomy properties of systems whose Hamiltonians contain parameters that slowly varied round a cycle. The property is geometrical phase accompanying transport eigenstate the cycle; shift in phase-space torus angle variables. Examples given. Starting from phase, different classes system seen to have degeneracy properties. Sometimes, tunnelling causes discordance adiabatic semiclassical limits; for these cases uniform approximation can be found, encompassing both limits.

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