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Paper   IPM / Physic / 14622
School of Physics
  Title:   Position-Momentum Uncertainty Relation for an Open Macroscopic Quantum System
  Author(s): 
1.  H.R. Naeij
2.  A. Shafiee
  Status:   Published
  Journal: J. Stat. Phys.
  Vol.:  165
  Year:  2016
  Pages:   1141-1152
  Supported by:  IPM
  Abstract:
The macroscopic quantum systems are considered as a bridge between quantum and classical systems. In this study, we explore the validity of the original Heisenberg position-momentum uncertainty relation for a macroscopic harmonic oscillator interacting with environmental micro-particles. Our results show that, in the quasi-classical situation, the original uncertainty relation does not hold, when the number of particles in the environment is small. Nonetheless, increasing the environmental degrees of freedom removes the violation bounds in the regions of our investigation.

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