(1) Department of Materials Science and Engineering, University of Science and Technology of China, Hefei, Anhui, 230026, China;(2) Department of Physics, Shanghai Jiao Tong University, Shanghai, 200030, China
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.
Work supported by the National Natural Science Foundation of China under grant 10475056 and Foundation of President of Chinese
Academy of Science.