https://doi.org/10.1140/epjp/s13360-022-03375-2
Regular Article
A study on the scattering of matter waves through slits
School of Physical Sciences, UM-DAE Centre For Excellence in Basic Sciences, Santacruz (E), 400098, Mumbai, Maharashtra, India
a
hardeep.chhabra18@gmail.com
b
ameeya@cbs.ac.in
Received:
6
June
2022
Accepted:
8
October
2022
Published online:
20
October
2022
Scattering of matter waves through slits has been explored using the Feynman Path Integral formalism. We explicitly plot the near-zero probability densities to analyse the behaviour near the slit. Upon doing so, intriguing patterns emerge, most notably the braid-like structure in the case of double slits, whose complexity increases as one increases the number of slits. Furthermore, the plot shows the existence of a transition region, where the distribution of near-zero probability points changes from the braided to the fringe-like structure, which has been analysed by explicitly expressing the wavefunction as a hypergeometric function. These patterns are analysed while considering the continuity equation and its consequences for the regions with zero probability density.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
