Articolele autorului Doctor Ovidiu Borchin
Link la profilul stiintific al lui Doctor Ovidiu Borchin

Quantum LC circuits with diffusive modification of the continuity equation

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

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The resemblances between finite and infinite formulation of Hofstadter butterfly

The Hofstadter butterfly’s energy spectrum is discussed both for infinite and finite lattices. For this purpose a square, a triangle and a honeycomb lattice are accounted for. The set of the nested band structures is treated in same more detail.

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