caa a22 4500 467954240 CHVBK 20180405193745.0 cr unu---uuuuu 170328e20050201xx s 000 0 eng 10.1007/s11232-005-0081-2 doi (NATIONALLICENCE)springer-10.1007/s11232-005-0081-2 (NATIONALLICENCE)springer-10.1007/PL00022152 Center-of-mass tomography and probability representation of quantum states for tunneling [Elektronische Daten] [A. Arkhipov, Yu. Lozovik, V. Man'ko, V. Sharapov] We develop a representation of quantum states in which the states are described by fair probability distribution functions instead of wave functions and density operators. We present a one-random-variable tomography map of density operators onto the probability distributions, the random variable being analogous to the center-of-mass coordinate considered in reference frames rotated and scaled in the phase space. We derive the evolution equation for the quantum state probability distribution and analyze the properties of the map. To illustrate the advantages of the new tomography representations, we describe a new method for simulating nonstationary quantum processes based on the tomography representation. The problem of the nonstationary tunneling of a wave packet of a composite particle, an exciton, is considered in detail. Springer Science+Business Media, Inc., 2005 quantum tomography nationallicence state reconstruction nationallicence tunneling nationallicence quantum dynamics nationallicence computer simulation nationallicence Arkhipov A. Moscow Physicotechnical Institute, Dolgoprudnyi, Moscow Oblast, Russia aut Lozovik Yu Institute of Spectroscopy, RAS, Troitsk, Moscow Oblast, Russia aut Man'ko V. Lebedev Physical Institute, RAS, Moscow, Russia aut Sharapov V. Moscow Physicotechnical Institute, Dolgoprudnyi, Moscow Oblast, Russia aut Theoretical and Mathematical Physics Kluwer Academic Publishers-Consultants Bureau 142/2(2005-02-01), 311-323 0040-5779 142:2<311 2005 142 11232 https://doi.org/10.1007/s11232-005-0081-2 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11232-005-0081-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Arkhipov A. Moscow Physicotechnical Institute, Dolgoprudnyi, Moscow Oblast, Russia aut NATIONALLICENCE 700 1- Lozovik Yu Institute of Spectroscopy, RAS, Troitsk, Moscow Oblast, Russia aut NATIONALLICENCE 700 1- Man'ko V. Lebedev Physical Institute, RAS, Moscow, Russia aut NATIONALLICENCE 700 1- Sharapov V. Moscow Physicotechnical Institute, Dolgoprudnyi, Moscow Oblast, Russia aut NATIONALLICENCE 773 0- Theoretical and Mathematical Physics Kluwer Academic Publishers-Consultants Bureau 142/2(2005-02-01), 311-323 0040-5779 142:2<311 2005 142 11232 NATIONALLICENCE 856 40 https://doi.org/10.1007/PL00022152 text/html Onlinezugriff via DOI Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE NATIONALLICENCE NL-springer