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Linear momentum quantization in periodic structures II

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  • Van Vliet, Carolyne M.

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.

Suggested Citation

  • Van Vliet, Carolyne M., 2010. "Linear momentum quantization in periodic structures II," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(8), pages 1585-1593.
    • Handle: RePEc:eee:phsmap:v:389:y:2010:i:8:p:1585-1593
    DOI: 10.1016/j.physa.2009.12.026
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