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arXiv · 2007.04230

London superconductivity approach in a time-dependent background

Vanderley Aguiar·João P. G. Nascimento·Ilde Guedes·Raimundo N. Costa Filho
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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.

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Vanderley Aguiar, João P. G. Nascimento, Ilde Guedes, Raimundo N. Costa Filho. 2020-07-08. London superconductivity approach in a time-dependent background. https://doi.org/10.1016/j.physc.2020.1353783

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