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

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.

25 pages, 4 figures

References in corpus (4)

• The evolution of free wave packets
• Constructing Squeezed States of Light with Associated Hermite Polynomials
• Time-dependent coherent squeezed states in a nonunitary approach
• Generalized para-Bose states

Cited by in corpus (1)

• Emergence of squeezed coherent states in Kaluza-Klein cosmology