On the London superconductors and mesoscopic RLC circuits


  • Inácio de Almeida Pedrosa
  • L. Nascimento




London superconductor; RLC circuit; London equations; Invariant method; Coherent states


We investigate the connection between the London superconductor and a mesoscopic RLC circuit in both classical and quantum contexts. We show that mathematical framework to describe the dynamics of these two dierent systems is identical. Based on the Lewis-Riesenfeld invariant method together with the Fock states, we solve the time-dependent Schrodinger equation for this problem and evaluate some of its important physical properties, such as coherent states, expectation values of the charge and magnetic ux, their quantum uctuations and the corresponding uncertainty principle.


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