Time-dependent coupled-cluster method for atomic nuclei
Nuclear Theory
2012-07-04 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1205.4002,
title = {Time-dependent coupled-cluster method for atomic nuclei},
author = {D. A. Pigg and G. Hagen and H. Nam and T. Papenbrock},
journal= {arXiv preprint arXiv:1205.4002},
year = {2012}
}
Comments
10 pages, 9 pdf figures