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Bose–Einstein condensation; hyperspherical harmonics method; potential harmonics.

We present and examine an approximate but ab initio many-body approach, viz., potential harmonics expansion method (PHEM), which includes two-body correlations for dilute Bose–Einstein condensates. Comparing the total ground state energy for three trapped interacting bosons calculated in PHEM with the exact energy, the new method is shown to be very good in the low density limit which is necessary for achieving Bose–Einstein condensation experimentally.

Anasuya Kundu¹ Barnali Chakrabarti²

1. Department of Physics, University of Calcutta, 92 A.P.C. Road, Kolkata 700 009, India
2. Department of Physics, Lady Brabourne College, P1/2 Surawardi Avenue, Kolkata 700 017, India

Published

September 2007

Manuscript received

28 November 2006

Manuscript revised

27 April 2007

Accepted

8 June 2007