One-Parameter Squeezed Gaussian States of Time-Dependent Harmonic Oscillator and Selection Rule for Vacuum States

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dc.creatorKim, Jung Kon
dc.creatorKim, Sang Pyo
dc.date1998-06-30
dc.date1998-11-06
dc.date.accessioned2026-07-07T10:55:06Z
dc.date.available2026-07-07T10:55:06Z
dc.descriptionBy using the invariant method we find one-parameter squeezed Gaussian states for both time-independent and time-dependent oscillators. The squeezing parameter is expressed in terms of energy expectation value for time-independent case and represents the degree of mixing positive and negative frequency solutions for time-dependent case. A {\it minimum uncertainty proposal} is advanced to select uniquely vacuum states at each moment of time. We show that the Gaussian states with minimum uncertainty coincide with the true vacuum state for time-independent oscillator and the Bunch-Davies vacuum for a massive scalar field in a de Sitter spacetime.
dc.description13 Pages, ReVTeX, no figures
dc.identifierhttps://arxiv.org/abs/quant-ph/9806096
dc.identifierhttp://arxiv.org/abs/quant-ph/9806096
dc.identifierJ.Phys.A32:2711-2718,1999
dc.identifierdoi:10.1088/0305-4470/32/14/012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/186010
dc.subjectQuantum Physics
dc.titleOne-Parameter Squeezed Gaussian States of Time-Dependent Harmonic Oscillator and Selection Rule for Vacuum States
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