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Communications in Theoretical Physics 2006年第4期45卷 614-616页

作者： GUI Wei-Jun GUI Jia-Zhang TANG Gang Department of Machinery and Electronic Engineering Nanchang institute of Technology Nanchang 330099 China

In this paper, we find the invariant eigen-operators （IEOs） and the energy-level gap of a system with a two-level atom interacting with single mode cavity field through multi-photon transition in the presence of a Kerr-like medium. From this work, one can see that the IEO method in many eases is simpler and easier on obtaining the energy-level gap formula than the usual way.

关键词： energy-level gap Kerr-like medium invariant eigen-operator

Energy Gap for Some Hamiltonian Systems Describing Polariton Systems Obtained via invariant eigen-operator Method

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Communications in Theoretical Physics 2006年第4X期46卷 603-606页

作者： FAN Hong-Yi TANG Xu-Bing Department of Materials Science and Engineering University of Science and Technology of China Hefei 230026 China Department of Physics Shanghai Jiao Tong University Shanghai 200030 China

Based on the invariant eigen-operator method （lEO） [Phys. Left. A 321 （2004） 75] we derive the exact energy gap for some Hamiltonians, which describe some polariton systems. The result shows that in some cases the IEO method, stemming from the Heisenberg approach, is more direct and convenient for deriving the energy-level gap formula than via the approach of solving the Schrodinger equation.

关键词： polariton system invariant eigen-operator energy gap

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

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Chinese Physics B 2009年第5期18卷 2024-2029页

作者：苏杰王继锁梁宝龙张晓燕 School of Physics Science and Information Engineering Liaocheng University

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.

关键词： mesoscopic selection rule quantum fluctuation invariant eigen-operator

Energy-Level of Some Singular Harmonic Oscillators and Parametric Amplifiers with Singular Potential Derived via IEO Method

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Communications in Theoretical Physics 2007年第5期47卷 865-868页

作者： FAN Hong-Yi TANG Xu-Bing Department of Material Science and Engineering University of Science and Technology of China Hefei 230026 China

We employ the invariant eigen-operator （lEO） method to find the invariant eigen-operators of N-body singular oscillators＇ Hamiltonians and then derive their energy gaps. The Hamiltonians of parametric amplifiers wi... 详细信息

关键词： invariant eigen-operator singular oscillator singualr degenerate parametric amplifier

Dispersion Energy in a Molecule Composed of Two Anisotropic Vibrating Dipoles

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Communications in Theoretical Physics 2006年第2X期46卷 209-212页

作者： FAN Hong-Yi TANG Xu-Bing Department of Material Science and Engineering University of Science and Technology of China Hefei 230026 China Department of Physics Shanghai Jiao Tong University Shanghai 200030 China

For the first time, we derive the dispersion energy for a molecule which involves the anisotropic dipole interaction by virtue of the invariant eigen-operator method, which greatly simplifies the usual calculation if ... 详细信息

关键词： invariant eigen-operator dispersion energy anisotropic vibrating dipoles