Introduction and Applications of a Generalized Intermediate Entangled State Representation

We introduce a generalized intermediate entangled state representation |β>_λ to study the energy spectrum of an electron in a uniform magnetic field and a harmonic potential through algebraic calculation. We find that the degeneracy of the energy levels is disappeared due to the existence of the additional potential. We make it clear that the eigenfunction is just the expression of eigenvector, defined in n Fock space, in |β>_λ representation.