含时背景下的伦敦超导方法
London superconductivity approach in a time-dependent background
摘要:
本文的主要目的是利用London方法得到含时参数超导体中电荷空间的量子精确解。基于Lewis和Riesenfeld不变算符方法,我们提出了一种新的超导体内部电荷量子化方案。由得到的波函数,我们计算了系统的含时不确定度和平均能量。信息的措施,如香农熵和复杂性。后者总是与时间无关,也不依赖于电导率。其他量用时间相关函数\r{ho}(t)表示,c-数量满足非线性微分方程。
英文摘要:
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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