Abstract
By virtue of the properties of bipartite entangled state representation wederive the common eigenvector of the parametric Hamiltonian and the two-modenumber-difference operator. This eigenvector is superposition of somedefinite two-mode Fock states with the coefficients being proportional tohypergeometric functions. The Gauss contiguous relation of hypergeometricfunctions is used to confirm the formal solution.
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