Linear momentum quantization in periodic structures II

Carolyne M. Van Vliet

Physica A: Statistical Mechanics and its Applications, 2010, vol. 389, issue 8, 1585-1593

Abstract: Fraunhofer interference of a single particle by a periodic array of scatterers, usually treated with a wave picture, can be fully explained on the basis of linear momentum quantization, as pointed out in a previous study by Van Vliet (1967) [4]. This analysis is now extended to scattering (or passing through slits) involving a finite number N of equidistantly spaced entities comprising the interferometer. The usual intensity probability distribution for W(sinθ) is obtained, noting that total momentum is conserved (as in the Compton effect), while the interferometer is treated as a quantum object—rather than a classical measuring apparatus, as perceived in the Copenhagen interpretation. Various aspects of the ‘orthodox view’ are examined and renounced.

Keywords: Quantum theory of diffraction; Interference; Collapse; Quantum probability; Hilbert space; Interaction and linear response (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:389:y:2010:i:8:p:1585-1593

DOI: 10.1016/j.physa.2009.12.026

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