Band theory in the context of the Hamilton-Jacobi formulation

Details Band theory in the context of the Hamilton-Jacobi formulation Band theory in the context of the Hamilton-Jacobi formulation

2007-03-02

arxiv.org/abs/quant-ph/0703016v1

Int.J.Theor.Phys.45:2377,2006

Physics

Quantum Physics

10 pages, no figures

Scientific paper

10.1007/s10773-006-9206-0

In the one-dimensional periodic potential case, we formulate the condition of Bloch periodicity for the reduced action by using the relation between the wave function and the reduced action established in the context of the equivalence postulate of quantum mechanics. Then, without appealing to the wave function properties, we reproduce the well-known dispersion relations which predict the band structure for the energy spectrum in the Kr\"onig-Penney model.

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