Eigenvalue-solution to those Hamiltonians involving non-commutative coordinates is not easily obtained.In this paper we apply the invariant eigen-operator(IEO)method to solving the energy spectrum of the three-modehar...Eigenvalue-solution to those Hamiltonians involving non-commutative coordinates is not easily obtained.In this paper we apply the invariant eigen-operator(IEO)method to solving the energy spectrum of the three-modeharmonic oscillator in non-commutative space with the coordinate operators satisfying cyclic commutative relations,[X_1,X_2]=[X_2,X_3]=[X_3,X_1]=iθ,and this method seems effective and concise.展开更多
基金the President Foundation of the Chinese Academy of Sciencesthe Specialized Research Fund for the Doctoral Program of Higher Education
文摘Eigenvalue-solution to those Hamiltonians involving non-commutative coordinates is not easily obtained.In this paper we apply the invariant eigen-operator(IEO)method to solving the energy spectrum of the three-modeharmonic oscillator in non-commutative space with the coordinate operators satisfying cyclic commutative relations,[X_1,X_2]=[X_2,X_3]=[X_3,X_1]=iθ,and this method seems effective and concise.
