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A thermodynamical derivation of the quantum potential and the temperature of the wave function

Curcuraci, L ; Sharif University of Technology | 2019

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  1. Type of Document: Article
  2. DOI: 10.1016/j.physa.2019.121570
  3. Publisher: Elsevier B.V , 2019
  4. Abstract:
  5. In this paper a thermodynamical derivation of the quantum potential is proposed. Within the framework of Bohmian mechanics we show how the quantum potential can be derived, by adding an additional informational degree of freedom to the ordinary degrees of freedom of a physical system. Such a derivation uses the First Law of thermodynamics for this additional degree of freedom and basic equilibrium thermodynamics methods. By doing that, one may associate a temperature to each wave function. Features and behavior of this temperature in different situations is studied. © 2019 Elsevier B.V
  6. Keywords:
  7. Quantum potential ; Thermodynamics ; Temperature ; Thermodynamics ; Wave functions ; Bohmian mechanics ; Degree of freedom ; Equilibrium thermodynamics ; First law of thermodynamics ; Physical systems ; Quantum potentials ; Thermodynamical ; Degrees of freedom (mechanics)
  8. Source: Physica A: Statistical Mechanics and its Applications ; Volume 530 , 2019 ; 03784371 (ISSN)
  9. URL: https://www.sciencedirect.com/science/article/abs/pii/S0378437119309288