We propose a path integral centroid molecular dynamics (CMD) method extende
d to Bose and Fermi statistics. An extended method of path integral molecul
ar dynamics (PIMD) for such statistics is also developed as a technique of
calculations of static properties. Bose PIMD and CMD simulations have been
performed for bulk liquid He-4 and ideal Bose gas, respectively. The remnan
t of lambda transition is observed for bulk liquid He-4, while the effect o
f Bose statistics on the centroid dynamics spanning several nanoseconds is
observed for ideal Bose gas. (C) 2001 Elsevier Science B.V. All rights rese
rved.