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Mesoscopic circuits with charge discreteness:quantum transmission lines

J. C. Flores
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Abstract

We propose a quantum Hamiltonian for a transmission line with charge discreteness. The periodic line is composed of an inductance and a capacitance per cell. In every cell the charge operator satisfies a nonlinear equation of motion because of the discreteness of the charge. In the basis of one-energy per site, the spectrum can be calculated explicitly. We consider briefly the incorporation of electrical resistance in the line.

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J. C. Flores. 2001-10-01. Mesoscopic circuits with charge discreteness:quantum transmission lines. https://doi.org/10.1103/physrevb.64.235309

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