2010/05/06 by Valeriy I. Sbitnev, Sbitnev, Valeriy I.
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Mechanical and Optical Resonators #Orbital Angular Momentum in Optics #Quantum Physics (quant-ph) #quant-ph
paper · pdf · doi:10.48550/arxiv.1005.0890
21 pages, 19 figures; added new section, figures, and references; PACS numbers: 03.75.-b, 03.75.Dg, 42.25.Hz
openalex publication_date 2010/05/06 · arxiv created 2010/09/17 · arxiv updated 2010/09/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Paths of particles, emitted from distributed sources and passing out through slits of two gratings, G0 and G1, up to detectors, have been computed in details by the path integral method. The slits are represented by Gaussian functions that simulate fuzzy edges of the slits. Waves of matter be computed by this method show perfect interference patterns both between the gratings and behind the second grating. Coherent and noncoherent the distributed particle sources reproducing the interference patterns are discussed in details. Paraxial approximation stems from the wave function when removing the distributed sources onto infinity. The more hard-edged slits of the grating G1 are examined by simulating those slits by a superposition of more hard the Gaussian functions. As for the particles here we consider fullerene molecules. De Broglie wavelength of the molecules is adopted equal to 5 pm.