The diffraction pattern by double slit is studied by incoming Gaussian wave packet subjected to scattering interaction with the wall and a truncation assumption when crossing the slits. Explicit results are valid for sufficiently smooth scattering amplitude. They concern large and narrow aperture of the incoming wave packet. For wave packet localized in spatial region smaller then the aperture of the slits there is no diffraction and the particle behaves classically. For wave packet peaked in the momentum probability distribution there are maxima, superimposed to the canonical diffraction pattern, in correspondence to the edges of the slits. Previous similar results are generalized and improved.

Double Slit Diffraction Pattern of Gaussian Wave Packet Interacting with the Wall / A. Zecca. - In: ADVANCED STUDIES IN THEORETICAL PHYSICS. - ISSN 1313-1311. - 1:9-12(2007), pp. 539-547.

Double Slit Diffraction Pattern of Gaussian Wave Packet Interacting with the Wall

A. Zecca
2007

Abstract

The diffraction pattern by double slit is studied by incoming Gaussian wave packet subjected to scattering interaction with the wall and a truncation assumption when crossing the slits. Explicit results are valid for sufficiently smooth scattering amplitude. They concern large and narrow aperture of the incoming wave packet. For wave packet localized in spatial region smaller then the aperture of the slits there is no diffraction and the particle behaves classically. For wave packet peaked in the momentum probability distribution there are maxima, superimposed to the canonical diffraction pattern, in correspondence to the edges of the slits. Previous similar results are generalized and improved.
Double slit diffraction ; Gaussian wave packet ; potential scattering
Settore FIS/02 - Fisica Teorica, Modelli e Metodi Matematici
2007
http://www.m-hikari.com/astp/astp2007/astp9-12-2007/zeccaASTP9-12-2007.pdf
Article (author)
File in questo prodotto:
Non ci sono file associati a questo prodotto.
Pubblicazioni consigliate

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/34267
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact