| 1. | Ali G.♦, Beneduci R.♦, Mascali G.♦, Schroeck Jr. F.E.♦, Sławianowski J.J., Some Mathematical Considerations on Solid State Physics in the Framework of the Phase Space Formulation of Quantum Mechanics, INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, ISSN: 0020-7748, DOI: 10.1007/s10773-013-1912-9, Vol.53, pp.3546-3574, 2014 Abstract:We propose, for a finite crystal, that the entire system be expressed in terms of the phase space, including momentum, configuration position and spin. This is to be done both classically and quantum mechanically. We illustrate this with a silicon crystal. Then, quantum mechanically measuring with a wire containing electrons, we obtain a theoretically good approximation for an electron in one semiconductor. As well, we outline what has to be done for any crystal. Keywords:Quantum mechanics in Phase space, Symmetry groups for a crystal, Groups representation, Quantization Affiliations:| Ali G. | - | University of Calabria (IT) | | Beneduci R. | - | University of Calabria (IT) | | Mascali G. | - | University of Calabria (IT) | | Schroeck Jr. F.E. | - | University of Denver (US) | | Sławianowski J.J. | - | IPPT PAN |
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