Quantum-Mechanical Analog of The Zeroth Law of Thermodynamics (to the Problem of Incorporating Thermodynamics into the Quantum-Mechanical Theory)

  • A. D. Sukhanov Bogoliubov Laboratory of Theoretical Physics, Joint Institute of Nuclear Reaserch
  • O. N. Golubeva Russian Peoples Friendship University
  • V. G. Bar’yakhtar Institute of Magnetism, Nat. Acad. of Sci. of Ukraine and Ministry of Education and Science, Youth and Sport of Ukraine
Keywords: uncertainty relation, thermal equilibrium, the zeroth law, invariance, squeezed coherent states, correlated coherent states

Abstract

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 Schr¨odinger 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.

References



  1. A.D. Sukhanov and O.N. Golubeva, Elem. Chast. At. Yadra Pis'ma 9, 495 (2012).

  2. A.D. Sukhanov, O.N. Golubeva, and V.G. Bar'yakhtar, arXiv: quant-ph/1211.3017v1.

  3. H. Umezawa, Advanced Field Theory. Micro-, Macro-, and Thermal Physics (Amer. Inst. of Phys., New York, 1993).

  4. J.M. Park, arXiv: math-phys/0409008v1.

  5. E. Wigner and M.M. Yanase, Proc. Nat. Acad. Sci. USA 49, 910 (1963).
     https://doi.org/10.1073/pnas.49.6.910


Published
2018-10-10
How to Cite
Sukhanov, A., Golubeva, O., & Bar’yakhtar, V. (2018). Quantum-Mechanical Analog of The Zeroth Law of Thermodynamics (to the Problem of Incorporating Thermodynamics into the Quantum-Mechanical Theory). Ukrainian Journal of Physics, 58(8), 787. https://doi.org/10.15407/ujpe58.08.0787
Section
General problems of theoretical physics

Most read articles by the same author(s)