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A pseudo su(1,1)-algebra is formulated as a possible deformation of theCooper-pair in the su(2)-algebraic many-fermion system. With the aid of thisalgebra, it is possible to describe behavior of individual fermions which aregenerated as the result of interaction with the external environment. The formpresented in this paper is a generalization of a certain simple case developedrecently by the present authors. Basic idea follows the su(1,1)-algebra in theSchwinger boson representation for treating energy transfer between theharmonic oscillator and the external environment. Hamiltonian is given underthe idea of the phase space doubling in the thermo-field dynamics formalism andthe time-dependent variational method is applied to this Hamiltonian. Its trialstate is constructed in the frame deformed from the BCS-Bogoliubov approach tothe superconductivity. Several numerical results are shown.

A Pseudo su(1,1)-Algebraic Deformation of the Cooper-Pair in the su(2)-Algebraic Many-Fermion Model