On the mass concentration for Bose-Einstein condensates with attractive interactions

Y. Guo, R. Seiringer, Letters in Mathematical Physics 104 (2014) 141–156.


Journal Article | Published | English
Author
Abstract
We consider two-dimensional Bose-Einstein condensates with attractive interaction, described by the Gross-Pitaevskii functional. Minimizers of this functional exist only if the interaction strength a satisfies {Mathematical expression}, where Q is the unique positive radial solution of {Mathematical expression} in {Mathematical expression}. We present a detailed analysis of the behavior of minimizers as a approaches a*, where all the mass concentrates at a global minimum of the trapping potential.
Publishing Year
Date Published
2014-02-01
Journal Title
Letters in Mathematical Physics
Volume
104
Issue
2
Page
141 - 156
IST-REx-ID

Cite this

Guo Y, Seiringer R. On the mass concentration for Bose-Einstein condensates with attractive interactions. Letters in Mathematical Physics. 2014;104(2):141-156. doi:10.1007/s11005-013-0667-9
Guo, Y., & Seiringer, R. (2014). On the mass concentration for Bose-Einstein condensates with attractive interactions. Letters in Mathematical Physics, 104(2), 141–156. https://doi.org/10.1007/s11005-013-0667-9
Guo, Yujin, and Robert Seiringer. “On the Mass Concentration for Bose-Einstein Condensates with Attractive Interactions.” Letters in Mathematical Physics 104, no. 2 (2014): 141–56. https://doi.org/10.1007/s11005-013-0667-9.
Y. Guo and R. Seiringer, “On the mass concentration for Bose-Einstein condensates with attractive interactions,” Letters in Mathematical Physics, vol. 104, no. 2, pp. 141–156, 2014.
Guo Y, Seiringer R. 2014. On the mass concentration for Bose-Einstein condensates with attractive interactions. Letters in Mathematical Physics. 104(2), 141–156.
Guo, Yujin, and Robert Seiringer. “On the Mass Concentration for Bose-Einstein Condensates with Attractive Interactions.” Letters in Mathematical Physics, vol. 104, no. 2, Springer, 2014, pp. 141–56, doi:10.1007/s11005-013-0667-9.

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