Geodesic
Multipoint scatterers with bound states at zero energy
Teoretičeskaâ i matematičeskaâ fizika, Tome 193 (2017) no. 2, pp. 309-314

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We study multipoint scatterers with bound states at zero energy in three-dimensional space. We construct examples of such scatterers with multiple zero eigenvalues or with strong multipole localization of zero-energy bound states.
Keywords: Schrödinger equation, multipoint scatterer, bound state, zero energy, localization. 
@article{TMF_2017_193_2_a6,
     author = {P. G. Grinevich and R. G. Novikov},
     title = {Multipoint scatterers with bound states at zero energy},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {309--314},
     publisher = {mathdoc},
     volume = {193},
     number = {2},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2017_193_2_a6/}
}
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P. G. Grinevich; R. G. Novikov. Multipoint scatterers with bound states at zero energy. Teoretičeskaâ i matematičeskaâ fizika, Tome 193 (2017) no. 2, pp. 309-314. http://geodesic.mathdoc.fr/item/TMF_2017_193_2_a6/