Abstract

A unitary equivalence between the free non-relativistic particle problem and a particle in the time-dependent homogeneous field is established. Coherent states of a non-relativistic free particle and particle with a mass M(t) in the time-dependent homogeneous field are constructed by the use of the evolution operator method. Main properties of the constructed coherent states, including time-dependent evolution of the corresponding probability density are discussed in detail. Explicit expressions of the oscillator-like wavefunctions for the systems under consideration are obtained, too.

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