Quantum theory for mesoscopic electric circuits

[摘要] A quantum theory for mesoscopic electric circuits in accord with the discreteness of electric charges is proposed. On the basis of the theory, the Schrodinger 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.

[关键词] PERSISTENT CURRENTS;SINGLE;LOOP