Sergey I. Kryuchkov, Sergei K. Suslov, Jose M. Vega-Guzman
We describe a six-parameter family of the minimum-uncertainty squeezed states for the harmonic oscillator in nonrelativistic quantum mechanics. They are derived by the action of corresponding maximal kinematical invariance group on the standard ground state solution. We show that the product of the variances attains the required minimum value 1/4 only at the instances that one variance is a minimum and the other is a maximum, when the "squeezing" of one of the variances occurs. Some applications to quantum optics and cavity quantum electrodynamics are briefly mentioned. Some applications to quantum optics and cavity quantum electrodynamics are mentioned. By the second quantization, one can select photons that are in the minimum-uncertainty squeezed states.
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http://arxiv.org/abs/1201.0841
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