Abstract
The Schrödinger equation for the most general time-dependent hamiltonian being a quadratic form in the operators x and p is reduced to a set of our first order ordinary differential equations. The forced harmonic oscillator with time-dependent frequency is the physically most important member in this set. This model is studied in detail. The matrix of transition probabilities P( n → n′) is calculated and the relation between the quantal and the corresponding classical problem is investigated. An extension of the DECENT model is proposed.
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