{ "id": "2003.01556", "version": "v1", "published": "2020-03-01T12:10:48.000Z", "updated": "2020-03-01T12:10:48.000Z", "title": "Coherent states of parametric oscillators in the probability representation of quantum mechanics", "authors": [ "Vladimir N. Chernega", "Olga V. Man'ko" ], "journal": "J. of Russian Laser Research, v.41, N1, p.11-22 (2020)", "doi": "10.1007/s10946-020-09844-2", "categories": [ "quant-ph" ], "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", "revisions": [ { "version": "v1", "updated": "2020-03-01T12:10:48.000Z" } ], "analyses": { "keywords": [ "probability representation", "quantum mechanics", "tomographic probability distributions", "glauber coherent states", "tomogram evolution" ], "tags": [ "journal article" ], "publication": { "publisher": "Springer" }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }