Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2007-02-09
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
4 pages
Scientific paper
Proofs are given that the quantum-mechanical description of the LC-circuit with a time dependent external source can be readily established by starting from a general discretization rule of the electric charge. For this purpose one resorts to an arbitrary but integer-dependent real function F(n) instead of n. This results in a nontrivial generalization of the discrete time dependent Schrodinger-equation established before via F(n)=n. Such generalization leads to site-dependent hopping amplitudes as well as to diffusive modification of the continuity equation. One shows, in particular, that there are firm supports concerning rational multiples of the elementary electric charge.
Borchin O.
Micu C.
Papp E.
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