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arXiv · 2208.05588

Squeezed coherent states for a free particle with time-varying mass

A. S. Pereira·A. S. Lemos·F. A. Brito
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Abstract

We obtain the squeezed coherent states (SCS) for a free particle with exponentially time-varying mass. We write these states in terms of the squeeze and displacement parameters on the time-independent Fock states. Thus, we find a condition on the displacement parameter such that the SCS can be considered semiclassical states. We show that it is possible to obtain the coherent states (CS) for a free particle with minimal uncertainty as long as the mass increases with the time. We analyze the transition probability of a system initially prepared in the time-independent Fock states to the free particle SCS.

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A. S. Pereira, A. S. Lemos, F. A. Brito. 2022-08-10. Squeezed coherent states for a free particle with time-varying mass. https://doi.org/10.1140/epjp%2Fs13360-023-03974-7

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