A Study on the Scattering of Matter Waves through Slits
| Autor: | Singh, Hardeep, Bhagwat, A. |
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| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Eur. Phys. J. Plus 137, 1161 (2022) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1140/epjp/s13360-022-03375-2 |
| Popis: | 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. As a result, we find quasi-traps in the region whose size can be controlled and made much smaller than the wavelength of matter waves. Comment: 17 pages, 16 figures |
| Databáze: | arXiv |
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