Quantum-mechanical analog of the zeroth law of thermodynamics (to the problem of incorporating thermodynamics into the quantum-mechanical theory)

The presented approach to incorporate the stochastic thermodynamics into the quantum theory is based on the idea, proposed earlier by the authors, to consistently consider the stochastic influence by the environment considered as the whole and described by the wave functions of arbitrary vacua. In this research, a possibility of the explicit incorporation of the zeroth law of stochastic thermodynamics into the quantum-mechanical theory in the form of the saturated Schr̈odinger uncertainty relation is realized. This allows a comparative analysis between the sets of arbitrary vacuum states, namely, squeezed coherent (SCSs) and correlated coherent (CCSs) states, to be carried out. A possibility to establish a relation between SCSs and CCSs, on the one hand, and thermal states, on the other hand, is discussed. © A.D. SUKHANOV, O.N. GOLUBEVA, V.G. BAR'YAKHTAR, 2013.

Authors
Sukhanov A.D. 1 , Golubeva O.N. 2 , Bar'Yakhtar V.G.3
Publisher
National Academy of Sciences of Ukraine
Number of issue
8
Language
English
Pages
787-796
Status
Published
Volume
58
Year
2013
Organizations
  • 1 Bogoliubov Laboratory of Theoretical Physics, Joint Institute of Nuclear Reaserch, Dubna 141980, Russian Federation
  • 2 Russian Peoples Friendship University, Moscow, Russian Federation
  • 3 Institute of Magnetism, Nat. Acad. of Sci. of Ukraine and Ministry of Education and Science, Youth and Sport of Ukraine, 36, Academician Vernadsky Blvd, Kyiv 03680, Ukraine
Keywords
Correlated coherent states; Invariance; Squeezed coherent states; The zeroth law; Thermal equilibrium; Uncertainty relation
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/2186/