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Paper   IPM / Physic / 13887
School of Physics
  Title:   Quantum-classical comparison: arrival times and statistics
  Author(s): 
1.  S.V. Mousavi
2.  S. Miret-Artes
  Status:   Published
  Journal: Phys. Scr
  Vol.:  90
  Year:  2015
  Pages:   025001
  Supported by:  IPM
  Abstract:
Classical and quantum scattering of a non-Gaussian wave packet by a rectangular barrier is studied in terms of arrival times to a given detector location. A classical wave equation, proposed by N Rosen (1964 Am. J. Phys. 32 377), is used to study the corresponding classical dynamics. Mean arrival times are then computed and compared for different values of initial wave packet parameters and barrier width. The agreement is improved in the large mass limit as one expects. A short comment on the possibility of generalization of Rosenʼs proposal to a two-body system is given. Differences in distributions of particles obeying different statistics are studied by considering a system composed of two free particles.

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