{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T02:00:16Z","timestamp":1760234416321,"version":"build-2065373602"},"reference-count":31,"publisher":"MDPI AG","issue":"5","license":[{"start":{"date-parts":[[2021,5,19]],"date-time":"2021-05-19T00:00:00Z","timestamp":1621382400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>The tomography of a single quantum particle (i.e., a quantum wave packet) in an accelerated frame is studied. We write the Schr\u00f6dinger equation in a moving reference frame in which acceleration is uniform in space and an arbitrary function of time. Then, we reduce such a problem to the study of spatiotemporal evolution of the wave packet in an inertial frame in the presence of a homogeneous force field but with an arbitrary time dependence. We demonstrate the existence of a Gaussian wave packet solution, for which the position and momentum uncertainties are unaffected by the uniform force field. This implies that, similar to in the case of a force-free motion, the uncertainty product is unaffected by acceleration. In addition, according to the Ehrenfest theorem, the wave packet centroid moves according to classic Newton\u2019s law of a particle experiencing the effects of uniform acceleration. Furthermore, as in free motion, the wave packet exhibits a diffraction spread in the configuration space but not in momentum space. Then, using Radon transform, we determine the quantum tomogram of the Gaussian state evolution in the accelerated frame. Finally, we characterize the wave packet evolution in the accelerated frame in terms of optical and simplectic tomogram evolution in the related tomographic space.<\/jats:p>","DOI":"10.3390\/e23050636","type":"journal-article","created":{"date-parts":[[2021,5,19]],"date-time":"2021-05-19T12:58:07Z","timestamp":1621429087000},"page":"636","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Tomographic Description of a Quantum Wave Packet in an Accelerated Frame"],"prefix":"10.3390","volume":"23","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1921-600X","authenticated-orcid":false,"given":"Sergio","family":"De Nicola","sequence":"first","affiliation":[{"name":"Dipartimento di Fisica \u201cE. Pancini\u201d, Universit\u00e1 di Napoli Federico II, Complesso Universitario di M.S. Angelo, 80126 Napoli, Italy"},{"name":"CNR-SPIN Unit\u00e1 di Napoli, Complesso Universitario di M.S. Angelo, 80126 Napoli, Italy"}]},{"given":"Renato","family":"Fedele","sequence":"additional","affiliation":[{"name":"Dipartimento di Fisica \u201cE. Pancini\u201d, Universit\u00e1 di Napoli Federico II, Complesso Universitario di M.S. Angelo, 80126 Napoli, Italy"},{"name":"INFN Sezione di Napoli, Complesso Universitario di M.S. Angelo, 80126 Napoli, Italy"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8693-4327","authenticated-orcid":false,"given":"Du\u0161an","family":"Jovanovi\u0107","sequence":"additional","affiliation":[{"name":"Institute of Physics, University of Belgrade, 11080 Belgrade, Serbia"}]},{"given":"Margarita A.","family":"Man\u2019ko","sequence":"additional","affiliation":[{"name":"P.N. Lebedev Physical Institute, 119991 Moscow, Russia"}]},{"given":"Vladimir I.","family":"Man\u2019ko","sequence":"additional","affiliation":[{"name":"P.N. Lebedev Physical Institute, 119991 Moscow, Russia"}]}],"member":"1968","published-online":{"date-parts":[[2021,5,19]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"615","DOI":"10.1088\/1355-5111\/7\/4\/016","article-title":"Wigner Function and probability-distribution for shifted and squeezed quadratures","volume":"7","author":"Mancini","year":"1995","journal-title":"Quantum Semiclass. Opt."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/0375-9601(96)00107-7","article-title":"Symplectic tomography as classical approach to quantum systems","volume":"A213","author":"Mancini","year":"1996","journal-title":"Phys. Lett."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"801","DOI":"10.1007\/BF02550342","article-title":"Classical-like description of quantum dynamics by means of symplectic tomography","volume":"27","author":"Mancini","year":"1997","journal-title":"Found. 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