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Langevin equation for a dissipative macroscopic quantum system: Bohmian theory versus quantum mechanics

Naeij, H. R ; Sharif University of Technology | 2020

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  1. Type of Document: Article
  2. DOI: 10.1007/s40509-019-00195-5
  3. Publisher: Birkhauser , 2020
  4. Abstract:
  5. 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. © 2019, Chapman University
  6. Keywords:
  7. Bohmian theory ; Harmonic environment ; Langevin equation ; Macroscopic quantum system
  8. Source: Quantum Studies: Mathematics and Foundations ; Volume 7, Issue 1 , 2020 , Pages 5-15
  9. URL: https://link.springer.com/article/10.1007/s40509-019-00195-5