摘要: The evolution mod Psi (t)) of a system with slowly-varying Hamiltonian H( Omega t) depends not only on the slowness parameter but also Planck's constant h(cross). For systems two (or more) classically separated phase-space regions which are quantally connected by tunnelling, curves instantaneous energy levels display hyperbolic near-degeneracies rather than crossings. In such cases limits to 0 (h(cross) fixed and small) h(cross) ( lead opposite behaviour (t)). As an illustration, uniform semiclassical adiabatic small, /h(cross) arbitrary) is calculated exactly for double-well potential one well gets shallower as other deeper.
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