London superconductivity approach in a time-dependent background
Quantum Physics
2020-11-25 v1 Other Condensed Matter
Superconductivity
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.
Keywords
Cite
@article{arxiv.2007.04230,
title = {London superconductivity approach in a time-dependent background},
author = {Vanderley Aguiar and João P. G. Nascimento and Ilde Guedes and Raimundo N. Costa Filho},
journal= {arXiv preprint arXiv:2007.04230},
year = {2020}
}