Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

International Journal of Theoretical Physics

Selection Rules of Energy-Level Transition for the Capacitance Coupling LC Mesoscopic Circuit by Using Invariant Eigen-Operator Method

Bao‐Long Liang, Ji‐Suo Wang, Xiang‐Guo Meng

Published Aug 16, 2010• 0 citations
Publisher
DOI
10.1007/s10773-008-9697-y

Related papers

Study on the zero-state quantum responses for inductance coupled mesoscopic LC circuits

Xiao-fang Zhou, Bing-liang Bai, Haiyan Guo

Optoelectronics Letters•Mar 1, 2010•2 citations

Thermal Effect for the Mesoscopic LC Circuits Including Complicated Coupling by Virtue of GHFT

Bao‐Long Liang, Ji‐Suo Wang, Xiang‐Guo Meng

International Journal of Theoretical Physics•Apr 21, 2009•1 citation

Quantum Effects of a Mesoscopic Capacitance Coupling Circuit with Resistances

Song Tong-Qiang

International Journal of Theoretical Physics•Jan 1, 2004•1 citation

Thermal effect and energy-level transition rule for a mesoscopic LC circuit with inductance–capacitance coupling

Jie Su, Ji‐Suo Wang, Liang Bao-Long +1 more

This paper reports that the mesoscopic inductance and capacitance coupling LC circuit is quantized by means of the canonical quantization method. Using the 'invariant eigen-operator' method, it deduces the energy-level transition rule when the system is disturbed by an external electromagnetic field. At the same time, the quantum fluctuations for the system at finite temperature are examined by virtue of the generalized Hellmann–Feynman theorem.

Chinese Physics B•May 1, 2009•2 citations

Quantum mechanical effects of a nondissipative mesoscopic capacitance coupling circuit with source

Zhao-Xian Yu, De-xing Zhang, Ye-hou Liu

International Journal of Theoretical Physics•Sep 1, 1997•4 citations

Number-Phase Quantization and Deriving Energy-Level Gap of Two LC Circuits with Mutual-Inductance

Meng Xiang-Guo, Ji‐Suo Wang, Zhai Yun +1 more

For two LC circuits with mutual-inductance, we introduce a new quantization scheme in the context of number-phase quantization through the standard Lagrangian formalism. The commutative relation between the charge operator and the magnetic flux operator is derived. Then we use the Heisenberg equation of motion to obtain the current and voltage equation across the inductance and capacity. The results clearly show how the current and voltage in a single LC circuit are affected by the circuit parameters and inductance coupling coefficient. In addition, adopting invariant eigen-operator method the energy-level gap of the dynamic Hamiltonian which describes two LC circuits with mutual-inductance is obtained.

Chinese Physics Letters•Apr 1, 2008•6 citations
For two LC circuits with mutual-inductance, we introduce a new quantization scheme in the context of number-phase quantization through the standard Lagrangian formalism. The commutative relation between the charge operator and the magnetic flux operator is derived. Then we use the Heisenberg equation of motion to obtain the current and voltage equation across the inductance and capacity. The results clearly show how the current and voltage in a single LC circuit are affected by the circuit parameters and inductance coupling coefficient. In addition, adopting invariant eigen-operator method the energy-level gap of the dynamic Hamiltonian which describes two LC circuits with mutual-inductance is obtained.