London superconductivity approach in a time-dependent background

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 metho...

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Published in:arXiv.org 2020-07
Main Authors: Aguiar, Vanderley, Nascimento, João P G, Guedes, Ilde, Costa Filho, Raimundo N
Format: Article
Language:English
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Entropy (Information theory)
Mathematical analysis
Nonlinear differential equations
Operators (mathematics)
Superconductivity
Time dependence
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Guedes, Ilde
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description 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.
doi_str_mv 10.48550/arxiv.2007.04230
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subjects Entropy (Information theory)
Mathematical analysis
Nonlinear differential equations
Operators (mathematics)
Superconductivity
Time dependence
title London superconductivity approach in a time-dependent background
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