On the London superconductors and mesoscopic RLC circuits

• I.A. Pedrosa ^[1] ; L. Nascimento ^[1]
  1. [1] Universidade Federal da Paraíba

     Universidade Federal da Paraíba

     Brasil

     
• Localización: Revista Mexicana de Física, ISSN-e 0035-001X, Vol. 68, Nº. 1, 2022, págs. 53-59
• Idioma: inglés
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• Resumen

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