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

MENG Xiang-Guo; WANG Ji-Suo; ZHAI Yun; FAN Hong-Yi

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

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@@ For two LC circuits with mutual-inductance, we introduce a new quantization scheme in the context of numberphase 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.

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《中国物理快报：英文版》 |2008年第4期|1205-1208|共4页
作者
MENG Xiang-Guo; WANG Ji-Suo; ZHAI Yun; FAN Hong-Yi;
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作者单位

Department of Physics, Liaocheng University, Shandong 252059;

Department of Physics, Liaocheng University, Shandong 252059;

School of Computer Science, Liaocheng University, Shandong 252059;

Department of Physics, Shanghai Jiao Tong University, Shanghai 200030;

Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026;

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中图分类物理学;
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Number-Phase Quantization and Deriving Energy-Level Gap of Two LC Circuits with Mutual-Inductance

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