Canonical transformation of quantization for mesoscopic capacity-coupled dissipative circuit

Abstract

摘要 针对介观耗散电容耦合RLC电路提出一种一般的正则变换, 并证明了其正确性和合理性. 用这种正则变换研究了双回路介观耗散电容耦合电路的量子化问题, 得出的对角化哈密顿量比文献中多出一非线性项. 这种具有普遍性的一般正则变换可能对研究介观多回路耗散系统的量子涨落、量子噪声等性质具有重要的意义. 关键词: RLC电路 / 量子化 / 正则变换 Abstract We propose a general canonical transformation for mesoscopic capacity-coupled dissipative RLC circuit and prove its feasibility and correctness. Using this transformation, the quantization of a double-loop capacity-coupled dissipation circuit is studied, and the diagonalized Hamiltonian of the system has an additional nonlinear term which has not been reported in literature. This general canonical transformation may have physical significance for the study of quantum fluctuation and quantum noise in the multiple-loop coupled dissipative circuits. Keywords: RLC circuit / quantization / canonical transformation 作者及机构信息 谢月新, 李志坚, 周光辉 基金项目: 湖南省自然科学基金(批准号:06JJ2097，06JJ4003)资助的课题. Authors and contacts 参考文献 施引文献