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This article is cited in 9 scientific papers (total in 9 papers)
Schrödinger uncertainty relation for a quantum oscillator in a thermostat
A. D. Sukhanov Peoples Friendship University of Russia
Abstract:
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.
Keywords:
Schrödinger correlator, saturated Schrödinger uncertainty relation, nonadditivity of quantum and thermal fluctuations, thermal correlated coherent state, thermal noise in pure state.
Received: 20.12.2004
Citation:
A. D. Sukhanov, “Schrödinger uncertainty relation for a quantum oscillator in a thermostat”, TMF, 148:2 (2006), 295–308; Theoret. and Math. Phys., 148:2 (2006), 1123–1134
Linking options:
https://www.mathnet.ru/eng/tmf2087https://doi.org/10.4213/tmf2087 https://www.mathnet.ru/eng/tmf/v148/i2/p295
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