2013/07/31 by S. V. Mousavi, S V Mousavi, S. Miret-Artés +1
Computer Science · Physics and Astronomy · #Arrival time #Classical limit #Cold Atom Physics and Bose-Einstein Condensates #Detector #Generalization #Limit (mathematics) #Quantum #Quantum Information and Cryptography #Quantum chaos and dynamical systems #Scattering #Wave packet #quant-ph
paper · pdf · doi:10.1088/0031-8949/90/2/025001
published as Phys. Scr. 90 (2015) 025001
openalex publication_date 2015/01/21 · arxiv created 2015/02/26 · arxiv updated 2015/02/27 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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 [\itAm. J. Phys. \bf 32 (1964) 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 Rosen's 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.