Abstract
A simple model of a classical oscillator, with time-dependent frequency, is applied to the normal modes of condensed systems. Taking advantage of the analogy with the stationary Schr\"odinger equation in one dimension, the existence of special modes ($s$ modes), with exponentially increasing amplitude, is proven, both for disordered and for periodic time-dependent strains. Anharmonic effects are then accounted for in terms of absorption processes for the excess phonons ($s$ phonons), coherently produced by the strain. A nonmetallic continuum lattice is used as a reference system for applications. Possible macroscopic effects, such as the resonant activation of optical modes and the production of time-controlled shock waves, are outlined.
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