Geodesic
Scattering Length and the Spectrum of –Δ + V
Canadian mathematical bulletin, Tome 49 (2006) no. 1, pp. 144-151

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DOI

Given a non-negative, locally integrable function $V$ on ${{\mathbb{R}}^{n}}$ , we give a necessary and sufficient condition that $-\Delta +V$ have purely discrete spectrum, in terms of the scattering length of $V$ restricted to boxes.
DOI : 10.4153/CMB-2006-015-5
Mots-clés : 35J10 
Taylor, Michael. Scattering Length and the Spectrum of –Δ + V. Canadian mathematical bulletin, Tome 49 (2006) no. 1, pp. 144-151. doi: 10.4153/CMB-2006-015-5
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     author = {Taylor, Michael},
     title = {Scattering {Length} and the {Spectrum} of {{\textendash}\ensuremath{\Delta}} + {V}},
     journal = {Canadian mathematical bulletin},
     pages = {144--151},
     year = {2006},
     volume = {49},
     number = {1},
     doi = {10.4153/CMB-2006-015-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2006-015-5/}
}
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