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Trapping potential; Bose–Einstein condensation; supersymmetric quantum mechanics.

We analyse and explore some peculiar features of the generalized Pöschl–Teller potential. This particular potential can be tuned in terms of the allowed number of excited states, the shape of the potential, and the strength of the confinement. As an application we investigate the Bose–Einstein condensation of noninteracting ³⁹K atoms in this trapping potential. We numerically study the effect of different tuning schemes of this particular potential on the dynamics of noninteracting BEC.

Sarath R¹ P C Vinodkumar²

1. Department of Applied Physics, Indian School of Mines, Dhanbad 826 004, India
2. Department of Physics, Sardar Patel University, Vallabh Vidyanagar 388 120, India

Published

July 2015

Manuscript received

24 August 2013

Manuscript revised

20 June 2014

Accepted

15 July 2014

Early published

13 December 2014