London superconductivity approach in a time-dependent background

Abstract

The main goal of this paper is to obtain the exact quantum solutions for charge space in a superconductor with time-dependent parameters using the London approach. We introduce a new quantization scheme for the charge inside a superconductor based on the Lewis and Riesenfeld invariant operator method. From the wave-functions obtained, we calculated the time-dependent uncertainties and the mean energy of the system. Information measures were also obtained, such as Shannon entropy and complexity. The later is always time-independent and also does not depend on conductivity. The others quantities are written in terms of a time-dependent function, \r{ho}(t), c-number quantity satisfying a nonlinear differential equation.

References in corpus (9)

• Hilbert Space Representation of the Minimal Length Uncertainty Relation
• A Statistical Measure of Complexity
• Violation of Kirchhoff's Laws for a Coherent RC Circuit
• Features of the Extension of a Statistical Measure of Complexity to Continuous Systems
• Information entropic superconducting microcooler
• Thermodynamics in Single-Electron Circuits and Superconducting Qubits
• A nonlinear superposition rule for solutions of the Milne--Pinney equation
• Applications of Lie systems in dissipative Milne--Pinney equations
• Statistical measures and the Klein tunneling in single-layer graphene