Absence of bound states implies non-negativity of the scattering length

Seiringer R. 2012. Absence of bound states implies non-negativity of the scattering length. Journal of Spectral Theory. 2(3), 321–328.

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OA http://arxiv.org/abs/1204.0435 [Preprint]

DOI
10.4171/JST/31
Journal Article | Published | English
Author
Seiringer, RobertISTA
Department
Seiringer Group
Abstract
We show that bosons interacting via pair potentials with negative scattering length form bound states for a suitable number of particles. In other words, the absence of many-particle bound states of any kind implies the non-negativity of the scattering length of the interaction potential.
Publishing Year
2012
Date Published
2012-06-24
Journal Title
Journal of Spectral Theory
Publisher
European Mathematical Society
Acknowledgement
Partial financial support by NSERC
Volume
2
Issue
3
Page
321-328
IST-REx-ID
2318

Cite this

Seiringer R. Absence of bound states implies non-negativity of the scattering length. Journal of Spectral Theory. 2012;2(3):321-328. doi:10.4171/JST/31
Seiringer, R. (2012). Absence of bound states implies non-negativity of the scattering length. Journal of Spectral Theory. European Mathematical Society. https://doi.org/10.4171/JST/31
Seiringer, Robert. “Absence of Bound States Implies Non-Negativity of the Scattering Length.” Journal of Spectral Theory. European Mathematical Society, 2012. https://doi.org/10.4171/JST/31.
R. Seiringer, “Absence of bound states implies non-negativity of the scattering length,” Journal of Spectral Theory, vol. 2, no. 3. European Mathematical Society, pp. 321–328, 2012.
Seiringer R. 2012. Absence of bound states implies non-negativity of the scattering length. Journal of Spectral Theory. 2(3), 321–328.
Seiringer, Robert. “Absence of Bound States Implies Non-Negativity of the Scattering Length.” Journal of Spectral Theory, vol. 2, no. 3, European Mathematical Society, 2012, pp. 321–28, doi:10.4171/JST/31.
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http://arxiv.org/abs/1204.0435
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