Communications in Theoretical Physics

Quantum Effect in a Diode Included Nonlinear Inductance-Capacitance Mesoscopic Circuit

Zhan-Yuan Yan, Zhang Xiao-Hong, Ma Jin-Ying

Published Sep 1, 2009• 6 citations

Abstract

The mesoscopic nonlinear inductance-capacitance circuit is a typical anharmonic oscillator, due to diodes included in the circuit. In this paper, using the advanced quantum theory of mesoscopic circuits, which based on the fundamental fact that the electric charge takes discrete value, the diode included mesoscopic circuit is firstly studied. Schrödinger equation of the system is a four-order difference equation in representation. Using the extended perturbative method, the detail energy spectrum and wave functions are obtained and verified, as an application of the results, the current quantum fluctuation in the ground state is calculated. Diode is a basis component in a circuit, its quantization would popularize the quantum theory of mesoscopic circuits. The methods to solve the high order difference equation are helpful to the application of mesoscopic quantum theory.

DOI: 10.1088/0253-6102/52/3/29

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