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Scattering of matter waves through slits has been explored using the FeynmanPath Integral formalism. We explicitly plot the near-zero probability densitiesto analyse the behaviour near the slit. Upon doing so, intriguing patternsemerge, 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 ofnear-zero probability points changes from the braided to the fringe-likestructure, which has been analysed by explicitly expressing the wavefunction asa hypergeometric function. These patterns are analysed while considering thecontinuity equation and its consequences for the regions with zero probabilitydensity. As a result, we find quasi-traps in the region whose size can becontrolled and made much smaller than the wavelength of matter waves.

A Study on the Scattering of Matter Waves through Slits