Investigating mesoscopic circuits with the entangled state representations

doi:10.1088/1674-1056/22/1/016804

Chin. Phys. B ›› 2013, Vol. 22 ›› Issue (1): 16804-016804.doi: 10.1088/1674-1056/22/1/016804

• CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES • 上一篇下一篇

Investigating mesoscopic circuits with the entangled state representations

梁宝龙^a, 王继锁^{a b}, 孟祥国^a, 杨芹英^a

a School of Physics Science and Information Engineering, Liaocheng University, Shandong 252059, China;
b College of Physics and Engineering, Qufu Normal University, Qufu 273165, China

收稿日期:2012-02-07 修回日期:2012-05-31 出版日期:2012-12-01 发布日期:2012-12-01
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11147009), and the Natural Science Foundation of Shandong Province, China (Grant Nos. ZR2010AQ027 and ZR2012AM004)

Investigating mesoscopic circuits with the entangled state representations

Liang Bao-Long (梁宝龙)^a, Wang Ji-Suo (王继锁)^{a b}, Meng Xiang-Guo (孟祥国)^a, Yang Qin-Ying (杨芹英)^a

a School of Physics Science and Information Engineering, Liaocheng University, Shandong 252059, China;
b College of Physics and Engineering, Qufu Normal University, Qufu 273165, China

Received:2012-02-07 Revised:2012-05-31 Online:2012-12-01 Published:2012-12-01
Contact: Liang Bao-Long E-mail:baolong-liang951@sohu.com; blliang@lcu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11147009), and the Natural Science Foundation of Shandong Province, China (Grant Nos. ZR2010AQ027 and ZR2012AM004)

摘要/Abstract

摘要： By employing the continuous parameter entangled state representations, we investigate the energy level and the wave function for a capacitively and mutual-inductively coupled LC mesoscopic circuit. It is found that investigating the mesoscopic circuit in such representations can bring us the following conveniences. Firstly, the dynamical equation is naturally transformed into a single-variable differential equation. Secondly, the center-of-mass kinetic energy is included in the energy level of the system. Thus it is instructive to introduce the entangled state representation into the investigation of mesoscopic circuits.

关键词: mesoscopic circuit, energy level, wave function, entangled state

Abstract: By employing the continuous parameter entangled state representations, we investigate the energy level and the wave function for a capacitively and mutual-inductively coupled LC mesoscopic circuit. It is found that investigating the mesoscopic circuit in such representations can bring us the following conveniences. Firstly, the dynamical equation is naturally transformed into a single-variable differential equation. Secondly, the center-of-mass kinetic energy is included in the energy level of the system. Thus it is instructive to introduce the entangled state representation into the investigation of mesoscopic circuits.

Key words: mesoscopic circuit, energy level, wave function, entangled state

中图分类号: (Low-dimensional, mesoscopic, nanoscale and other related systems: structure and nonelectronic properties)

68.65.-k

03.65.-w (Quantum mechanics) 05.30.-d (Quantum statistical mechanics)

梁宝龙, 王继锁, 孟祥国, 杨芹英. Investigating mesoscopic circuits with the entangled state representations[J]. Chin. Phys. B, 2013, 22(1): 16804-016804.

Liang Bao-Long (梁宝龙), Wang Ji-Suo (王继锁), Meng Xiang-Guo (孟祥国), Yang Qin-Ying (杨芹英). Investigating mesoscopic circuits with the entangled state representations[J]. Chin. Phys. B, 2013, 22(1): 16804-016804.

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Investigating mesoscopic circuits with the entangled state representations

Investigating mesoscopic circuits with the entangled state representations

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