"THE AVERAGED LAGRANGIAN OF SOLITONS OF BOSE-EINSTEIN CONDENSATION "

"THE AVERAGED LAGRANGIAN OF SOLITONS OF BOSE-EINSTEIN CONDENSATION "

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Keywords:

Bose-Einstein condensate, Gross-Pitaevskii equation, averaged Lagrangian

Abstract

The effect of the fluctuation interaction of atoms forming a condensate on solitons of the Bose-Einstein condensation is considered. A short derivation of the Gross-Pitaevsky equation is given. The averaged Lagrangian of solitons of the Bose-Einstein condensation is determined. The obtained results give an opportunity to investigate the solitons dynamics under the action of various perturbations.

References

"1 Lifshits E.M. Pitaevskii L.P. Course of Theoret¬ical Physics. Vol. 9: Statistical Physics, Part 2: Theory of Condensed State. Moscow, Nauka, 1978, 314 p. [in Russian].

Pitaevskii L.P., Stringari S. Bose-Einstein Condensa¬tion. Clarendon Press, Oxford, 2003, 382 p.

Anderson D. Variational approach to nonlinear pulse propagation in optical fibers. Phys. Rev. 1983, A 27, pp. 3135-3145.

Malomed B.A. Emission, quasi classical quantization and stochastic decay of sine Gorden solitons in external fields. Physica D. 1987, V27, pp. 113-157.

Prez-Garcia V.M., Michinel H., Cirac J.I., et al. Parametric resonance in Bose-Einstein condensates with periodic modulation of attractive interaction. Phys. Rev. 1997, A 56, pp.1424-1429."

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Published online

2018-03-03

How to Cite

Zhumaev, M., Sharipov, M., & Mirzhonova, N. (2018). "THE AVERAGED LAGRANGIAN OF SOLITONS OF BOSE-EINSTEIN CONDENSATION ". Eurasian Physical Technical Journal, 15(1(29), 6–9. Retrieved from https://phtj.buketov.edu.kz/index.php/EPTJ/article/view/491

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