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Paper   IPM / P / 16227
School of Physics
  Title:   A thermodynamical derivation of the quantum potential and the temperature of the wave function
1.  L. Curcurac
2.  M. Ramezani
  Status:   Published
  Journal: Physica A: Statistical Mechanics and its Applications
  Vol.:  530
  Year:  2019
  Pages:   121570
  Supported by:  IPM
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.

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