Eur. Phys. J. A (2017) 53: 186
https://doi.org/10.1140/epja/i2017-12377-3

Regular Article - Theoretical Physics

Truncation scheme of time-dependent density-matrix approach II

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, CNRS and Université Joseph Fourier, 25 Av. des Martyrs, BP 166, F-38042, Grenoble Cedex 9, France

^* e-mail: tohyama@ks.kyorin-u.ac.jp

Received: 1 August 2017
Accepted: 3 September 2017
Published online: 25 September 2017

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 two-body density matrices, is improved to take into account a normalization effect. The truncation scheme is tested for the Lipkin model. It is shown that the obtained results are in good agreement with the exact solutions.