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- W2139132728 abstract "The method of variation after projection is investigated in general terms (no restriction to independent-particle type models being made). For simplicity only Abelian symmetry groups are considered. The resulting complicated variational equation for the intrinsic wave function can be treated by successive approximations. The zeroth order is equivalent to the conventional variational problem. The first-order intrinsic function is determined from an equation containing the effect of collective motion on the intrinsic dynamics of the system. It is shown that the first-order intrinsic function automatically obeys the cranking condition. The inertial parameter is expressed in terms of the first-order wave function. It contains the Peierls-Yoccoz term and a term of the Thouless-Valatin form in addition to other terms. In all special cases considered, the Thouless-Valatin term is the dominating contribution while all other terms (nearly) cancel. Applying the method to translational motion, the exact total mass is obtained in lowest non-trivial order of the expansion. The case of a model molecule is studied; the values of the moment of inertia according to Peierls-Yoccoz, Thouless-Valatin and the present formalism are calculated and compared." @default.
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- W2139132728 date "1972-11-01" @default.
- W2139132728 modified "2023-10-01" @default.
- W2139132728 title "Projection method, cranking condition and collective energy" @default.
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- W2139132728 doi "https://doi.org/10.1016/0375-9474(72)90954-2" @default.
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