Quantization of a Diode Included Nonlinear Mesoscopic Circuit
The diodes included nonlinear mesoscopic circuit is a typical anharmonic oscillator. In this paper, using the advanced quantum theory of mesoscopic circuits, the diode included mesoscopic circuit is studied. Considering the fundamental fact that the electric charge takes discrete value,
Schrödinger equation of the system is a four-order difference equation in generalized momentum representation. An improved parameter perturbative method is proposed when WKB and perturbative method are inapplicable. With this method, the energy spectrum and wave functions of the system
are obtained. As an application, the current quantum fluctuation in ground state is calculated. The results would be helpful to the popularization of the mesoscopic quantum theory the design of integrate circuit.
Keywords: MESOSCOPIC CIRCUITS; QUANTIZATION; QUANTUM FLUCTUATION
Document Type: Research Article
Publication date: 01 January 2014
- Journal of Computational and Theoretical Nanoscience is an international peer-reviewed journal with a wide-ranging coverage, consolidates research activities in all aspects of computational and theoretical nanoscience into a single reference source. This journal offers scientists and engineers peer-reviewed research papers in all aspects of computational and theoretical nanoscience and nanotechnology in chemistry, physics, materials science, engineering and biology to publish original full papers and timely state-of-the-art reviews and short communications encompassing the fundamental and applied research.
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