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Quantum LC circuits with diffusive modification of the continuity equation

Domenii publicaţii > Fizica + Tipuri publicaţii > Articol în revistã ştiinţificã

Autori: Papp E., Micu C. and Borchin O.

Editorial:, cond-mat/0702248, p.4, 2007.


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 Schrdinger-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.

Cuvinte cheie: Quantum LC-circuits;Charge discretization; Discrete Schrdinger-equations

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