Amplitude and phase of time dependent Hamiltonian systems under the minimum uncertainty condition
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We investigate dynamical systems with time-dependent mass and frequency, with particular attention on models attaining the minimum value of uncertainty formula. A criterium of minimum uncertainty is presented and illustrated by means of explicit and exactly solved examples. The role of the Bogolubov coefficients, in general and in the context of minimum uncertainty case, is discussed.
15 pages. Title changed (formerly it was "Remarks on the minimum uncertainty states of generalized oscillators"). Comments and references concerning possible applications to the theory of squeezing of inflationary universe as well as few minor formulae have been removed
15 pages. Title changed (formerly it was "Remarks on the minimum uncertainty states of generalized oscillators"). Comments and references concerning possible applications to the theory of squeezing of inflationary universe as well as few minor formulae have been removed