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Paper   IPM / Physic / 15822
School of Physics
  Title:   Determination of classical behaviour of the Earth for large quantum numbers using quantum guiding equation
1.  A. Soltanmanesh
2.  A. Shafiee
3.  A. Pramana
  Status:   Published
  Journal: Quantum Stud.: Math. Found.
  No.:  4
  Vol.:  93
  Year:  2019
  Pages:   52
  Supported by:  IPM
For quantum systems, we expect to see classical behavior at the limit of large quantum numbers. Hence, we apply the Bohmian approach to describe the Earth evolution around the Sun. We obtain possible trajectories of the Earth system with different initial conditions which converge to a certain stable orbit after a given time, known as the Kepler orbit. The trajectories are resulted from the guiding equation p=∇S in Bohmian mechanics which relates the momentum of the system to the phase part of the wave function. Except at some special situations, Bohmian trajectories are not Newtonian in character. We show that the classic behavior of the Earth can be interpreted as the consequence of the guiding equation at the limit of large quantum numbers.

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