Coherent states of parametric oscillators in the probability
representation of quantum mechanics
- URL: http://arxiv.org/abs/2003.01556v1
- Date: Sun, 1 Mar 2020 12:10:48 GMT
- Title: Coherent states of parametric oscillators in the probability
representation of quantum mechanics
- Authors: Vladimir N. Chernega, Olga V. Man'ko
- Abstract summary: The possibility to describe quantum states by tomographic probability distributions (tomograms) is presented.
The integrals of motion linear in the position and momentum are used to explicitly obtain the tomogram evolution.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Glauber coherent states of quantum systems are reviewed. We construct the
tomographic probability distributions of the oscillator states. The possibility
to describe quantum states by tomographic probability distributions (tomograms)
is presented on an example of coherent states of parametric oscillator. The
integrals of motion linear in the position and momentum are used to explicitly
obtain the tomogram evolution expressed in terms of trajectories of classical
parametric oscillator
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