FIZIKA B 2 (1993) 2, 73-82

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PERTURBATIVE SOLUTION OF INTEGRO-DIFFERENTIAL EQUATION
FOR A SYSTEM OF IDENTICAL BOSONS

TAPAN KUMAR DAS and RAKHI CHATTOPADHYAY
Department of Physics, University of Calcutta, 92 A.P.C. Road,
Calcutta 700 009, India

Received 12 March 1993

We have solved the integro-differential equation for a system of A identical bosons interacting via two body potentials by applying a perturbative method up to the second order. Calculated binding energy has been compared with a solution by projection method. The perturbative solution is found to be fairly reliable for a soft potential and it improves with increasing particle number (A), whereas other numerical methods become very difficult with increasing particle number. Thus perturbation method becomes a useful alternative for large particle number and soft potentials.

UDC 530.145
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