https://doi.org/10.1140/epja/i2014-14077-x
Regular Article - Theoretical Physics
Truncation scheme of time-dependent density-matrix approach
1
Kyorin University School of Medicine, 181-8611, Mitaka, Tokyo, Japan
2
Institut de Physique Nucléaire, IN2P3-CNRS, Université Paris-Sud, F-91406, Orsay Cedex, France
3
Laboratoire de Physique et de Modélisation des Milieux Condensés et Université Joseph Fourier, 25 Av. des Martyrs, F-38042, Grenoble Cedex 9, France
* e-mail: tohyama@ks.kyorin-u.ac.jp
Received:
12
December
2013
Revised:
25
February
2014
Accepted:
21
March
2014
Published online:
21
April
2014
A truncation scheme of the Bogoliubov-Born-Green-Kirkwood-Yvon hierarchy for reduced density matrices, where a three-body density matrix is approximated by the antisymmetrized products of two-body density matrices, is proposed. This truncation scheme is tested for three model Hamiltonians. It is shown that the obtained results are in good agreement with the exact solutions.
© SIF, Springer-Verlag Berlin Heidelberg, 2014