论文标题
伦敦超导性方法在时间依赖的背景下
London superconductivity approach in a time-dependent background
论文作者
论文摘要
本文的主要目的是使用伦敦方法获得超导体中电荷空间的精确量子解决方案。我们基于Lewis和Riesenfeld不变式操作员方法引入了一个新的量化方案,用于在超导体内部的电荷。从获得的波函数中,我们计算了时间依赖性的不确定性和系统的平均能量。还获得了信息度量,例如香农熵和复杂性。后者始终是不依赖时间的,也不取决于电导率。其他数量是根据时间依赖性函数(\ r {ho}(t),c-number数量满足非线性微分方程的数量。
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.