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Ground state of the one dimensional Gross-Pitaevskii equation with a Morse potential

Published 5 Sep 2013 in quant-ph | (1309.1448v3)

Abstract: We have studied the ground state of the Gross-Pitaevskii equation (nonlinear Schrodinger equation) for a Morse potential via a variational approach. It is seen that the ground state ceases to be bound when the coupling constant of the nonlinear term reaches a critical value. The disappearence of the ground state resembles a saddle node bifurcation.

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