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Paper   IPM / Physic / 15823
School of Physics
  Title:   Langevin equation for a dissipative macroscopic quantum system: Bohmian theory versus quantum mechanics
1.  H.R. Naeij
2.  A. Shafiee
  Status:   Published
  Journal: Quantum Stud.: Math. Found.
  Year:  2019
  Pages:   1-11
  Supported by:  IPM
In this study, we solve analytically the Schrödinger equation for a macroscopic quantum oscillator as a central system coupled to a large number of environmental micro-oscillating particles. Then, the Langevin equation is obtained for the system using two approaches: Quantum Mechanics and Bohmian Theory. Our results show that the predictions of the two theories are inherently different in real conditions. Nevertheless, the Langevin equation obtained by Bohmian approach could be reduced to the quantum one, when the vibrational frequency of the central system is high enough compared to the frequency of the environmental particles.

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