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It is shown that a variational approach with fermionic squeezed states tomany-fermion systems such as pairing model is one of useful methods beyond theusual Hartree-Fock-Bogoliubov approximation. A pairing-type quasi-spin squeezedstate is constructed and adopted as a trial state in the variational method. Byusing this state, quantum fluctuations are taken into account. In pairingmodel, dynamical and static approaches are discussed in the context ofcomparing with the Hartree-Fock-Bogoliubov approximation about ground stateenergy. As a possible extension to the O(4) model, prospective squeezed statesare investigated and the usefulness is discussed.Comment: 26 pages, 6 figures, Using PTPTeX styl

Fermionic Squeezed State for the O(4) Model as a Schematic Model in a Many-Fermion System