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Phys. Rev. A 65, 042111 (2002) [5 pages]

Diffraction in time: Fraunhofer and Fresnel dispersion by a slit

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Salvador Godoy*
Departamento de Física, Facultad de Ciencias, Universidad Nacional Autónoma de México, México 04510, Distrito Federal, Mexico

Received 22 August 2001; published 4 April 2002

Moshinsky’s work on diffraction in time is recognized as a particular case of monoenergetic, quantum dispersion process. Diffraction in time is extended to include new initial conditions, which under free evolution exhibit temporal quantum interference patterns in close analogy to spatial diffraction patterns found in optics. We show that free propagation of states, which initially are stationary states of infinite potential wells, diffract in time similarly as a plane wave by a double slit. We introduce the concepts of mass transport by transient Fraunhofer and Fresnel dispersion currents.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.65.042111
DOI:
10.1103/PhysRevA.65.042111
PACS:
03.65.Sq, 05.60.-k, 05.70.Ln

*Email address: sgs@hp.fciencias.unam.mx