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With the aim of the extension of the TDHF theory in the canonical form in theLipkin model, the trial state for the variation is constructed, which is anextension of the Slater determinant. The canonicity condition is imposed toformulate the variational approach in the canonical form. A possible solutionof the canonicity condition is given and the zero-point fluctuation induced bythe uncertainty principle is investigated. As an application, the ground stateenergy is evaluated.Comment: 15 pages, 1 figure, using PTPTeX styl

progress of theoretical physics

A Possible Extension of a Trial State in the TDHF Theory with a Canonical Form to the Lipkin Model: -- Canonicity Conditions and Dynamical Treatment of Classical and Quantal Variables in an Extended State of the su(2)-Coherent State --