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Quantum theory for mesoscopic electric circuits

You-Quan Li·Bin Chen
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Abstract

A quantum theory for mesoscopic electric circuits in accord with the discreteness of electric charges is proposed. On the basis of the theory, Schrödinger equation for the quantum LC-design and L-design is solved exactly. The uncertainty relation for electric charge and current is obtained and a minimum uncertainty state is solved. By introducing a gauge field, a formula for persistent current arising from magnetic flux is obtained from a new point of view.

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You-Quan Li, Bin Chen. 1996-06-27. Quantum theory for mesoscopic electric circuits. https://doi.org/10.1103/physrevb.53.4027

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