Physica C: Superconductivity and its Applications ( IF 1.3 ) Pub Date : 2020-11-07 , DOI: 10.1016/j.physc.2020.1353783 V. Aguiar , J.P.G. Nascimento , I. Guedes , R.N. Costa Filho
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 other quantities are written in terms of a time-dependent function, , c-number quantity satisfying a nonlinear differential equation.
中文翻译:
时变背景下的伦敦超导方法
本文的主要目标是使用伦敦方法获得具有时间相关参数的超导体中电荷空间的精确量子解。我们引入了基于Lewis和Riesenfeld不变算子方法的超导体内部电荷的新量化方案。根据获得的波函数,我们计算了时间相关的不确定性和系统的平均能量。还获得了信息量度,例如香农熵和复杂度。后者总是与时间无关,也不取决于电导率。其他数量是根据时间相关函数编写的,,满足非线性微分方程的c数量。