Friday, May 18, 2012

1205.4002 (D. A. Pigg et al.)

Time-dependent coupled-cluster method for atomic nuclei    [PDF]

D. A. Pigg, G. Hagen, H. Nam, T. Papenbrock
We study time-dependent coupled-cluster theory in the framework of nuclear physics. Based on Kvaal's bi-variational formulation of this method [S. Kvaal, arXiv:1201.5548], we explicitly demonstrate that observables that commute with the Hamiltonian are conserved under time evolution. We explore the role of the energy and of the similarity-transformed Hamiltonian under real and imaginary time evolution and relate the latter to similarity renormalization group transformations. Proof-of-principle computations of He-4 and O-16 in small model spaces, and computations of the Lipkin model illustrate the capabilities of the method.
View original: http://arxiv.org/abs/1205.4002

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