Rocky Paths, Dead Ends and Smooth Paths towards a Theory of Nuclear Collective Motion
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概要
- 論文の詳細を見る
This report contains two main parts. The first part summarizes the well known construction based on TDHF of a collective Hamiltonian Η(p, q) from an A-particle Hamiltonian H^^^. This construction is stated as a prescription, that may also be applied to any one particle operator Y^^^, and its time derivative [iH^^^,Y^^^]. The operators Y(p, q) and Y^^・(p, q) so obtained are required to obey Y^^・(p, q) = [iH(p,q), Y(p,q)]. It is shown that this consistency condition on collective dynamics can indeed be enforced, and leads to the same conditions as the TDHF-variational principle. The second part presents an alternative to TDHF, which is quantum mechanical from the outset. Eigenfunctions of the collective "position" operator Q^^^ are constructed by projection. In the adiabatic limit, the results obtained by variationally optimizing the trial function for the system are in substantial agreement with quantized TDHF. Zero-point energy corrections are automatically included.
- 理論物理学刊行会の論文
- 1983-05-25
著者
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Villars Felix
Center For Theoretical Physics Laboratory For Nuclear Science And Department Of Physics Massachusett
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Villars Felix
Center For Theoretical Physics Laboratory For Nuclear Science And Department Of Physics Massachusetts Institute Of Technology