Abstract
The time-dependent Hartree-Fock method (TDHF) is used to study steady state large-amplitude collective motions, such as vibration and rotation. The central aspect explored is the periodicity. By a close analogy with the exact Schroedinger eigenstates, a subset of periodic TDHF solutions, the gauge invariant periodic solutions are considered. The TDHF supports a continuous family of periodic solutions, but only a discrete subset of these is gauge invariant. Also it is proven that these discrete gauge invariant periodic solutions obey the Bohr--Summerfeld quantization rule. The energy spectrum of the gauge invariant periodic solutions is compared with the exact eigenenergies in one specific example. The study implies that the gauge invariant periodic TDHF solutions are a very promising approximate description of the exact Schroedinger eigenstates. 10 references. (JFP)
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