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

R. Seiringer, Journal of Spectral Theory 2 (2012) 321–328.


Journal Article | Published | English
Department
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
Date Published
2012-06-24
Journal Title
Journal of Spectral Theory
Acknowledgement
Partial financial support by NSERC
Volume
2
Issue
3
Page
321-328
IST-REx-ID

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, 2(3), 321–328. https://doi.org/10.4171/JST/31
Seiringer, Robert. “Absence of Bound States Implies Non-Negativity of the Scattering Length.” Journal of Spectral Theory 2, no. 3 (2012): 321–28. 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, 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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