Eur. Phys. J. A (2014) 50: 77
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

Abstract

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.