caa a22 4500 467910928 CHVBK 20180406152849.0 cr unu---uuuuu 170328e20060801xx s 000 0 eng 10.1007/s11232-006-0106-5 doi (NATIONALLICENCE)springer-10.1007/s11232-006-0106-5 Sukhanov A. Peoples' Friendship University of Russia, Moscow, Russia aut Schrödinger uncertainty relation for a quantum oscillator in a thermostat [Elektronische Daten] [A. Sukhanov] We introduce the Schrödinger correlator as the holistic characteristic of two types of fluctuation correlations in quantum dynamics and in statistical thermodynamics. We are the first to derive it using methods of thermofield dynamics for the coordinate-momentum variables of a quantum oscillator in a thermostat. We show that the obtained value ensures that the Schrödinger uncertainty relation becomes an equality at all temperatures. We find that the thermal equilibrium for the quantum oscillator has the sense of the thermal correlated coherent state and can be adequately described by a wave function with temperature-dependent amplitude and phase. Springer Science+Business Media, Inc., 2006 Schrödinger correlator nationallicence saturated Schrödinger uncertainty relation nationallicence nonadditivity of quantum and thermal fluctuations nationallicence thermal correlated coherent state nationallicence thermal noise in pure state nationallicence Theoretical and Mathematical Physics Kluwer Academic Publishers-Consultants Bureau 148/2(2006-08-01), 1123-1134 0040-5779 148:2<1123 2006 148 11232 https://doi.org/10.1007/s11232-006-0106-5 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11232-006-0106-5 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Sukhanov A. Peoples' Friendship University of Russia, Moscow, Russia aut NATIONALLICENCE 773 0- Theoretical and Mathematical Physics Kluwer Academic Publishers-Consultants Bureau 148/2(2006-08-01), 1123-1134 0040-5779 148:2<1123 2006 148 11232 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer