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Deriving Energy-Gap of Some Hamiltonians with Kinetic Coupling by the Invariant Eigen-Operator Method

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Abstract

We begin with proposing a unitary operator responsible for diagonalizing the Hamiltonian with kinetic couplings in particle physics to get a new form of Hamiltonian which has no coupling terms. By virtue of the invariant eigen-operator (IEO) method we search for the invariant eigen-operators for the new Hamiltonian. In this way the energy-gap of the Hamiltonians can be naturally obtained. This method may be generalized to N-mode Hamiltonian with kinetic couplings case.

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Authors and Affiliations

  1. Department of Materials Science and Engineering, University of Science and Technology of China, Hefei, Anhui, 230026, China

    Gang Ren & Hong-yi Fan

  2. Department of Physics, Shanghai Jiao Tong University, Shanghai, 200030, China

    Hong-yi Fan

Authors
  1. Gang Ren
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  2. Hong-yi Fan
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Correspondence to Gang Ren.

Additional information

Work supported by the National Natural Science Foundation of China under grant 10475056 and Foundation of President of Chinese Academy of Science.

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Ren, G., Fan, Hy. Deriving Energy-Gap of Some Hamiltonians with Kinetic Coupling by the Invariant Eigen-Operator Method. Int J Theor Phys 48, 2016–2021 (2009). https://doi.org/10.1007/s10773-009-9976-2

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  • DOI: https://doi.org/10.1007/s10773-009-9976-2

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