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Stability of Solution of the Nonlinear Schrödinger Equation for the Bose-Einstein Condensation

Yeong E. Kim·Alexander L. Zubarev
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Abstract

We investigate the stability of the Bose-Einstein condensate (BEC) the case of atoms with negative scattering lengths at zero temperature using the Ginzburg-Pitaevskii-Gross (GPG) stationary theory. We have found a new exact equation for determining the upper bound of the critical numbers $N_{cr}$ of atoms for a metastable state to exist. Our calculated value of $N_{cr}$ for Bose-Einstein condensation of lithium atoms based on our new equation is in agreement with those observed in a agreement with those observed in a recent experiment.

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Yeong E. Kim, Alexander L. Zubarev. 1998-03-13. Stability of Solution of the Nonlinear Schrödinger Equation for the Bose-Einstein Condensation. https://doi.org/10.1016/s0375-9601(98)00531-3

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