Geodesic
Stability of regularizations of the Schr\"odinger operator with singular repulsive potential
Teoretičeskaâ i matematičeskaâ fizika, Tome 37 (1978) no. 2, pp. 237-242

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A study is made of the stability of regularizations of a $d$-dimensional Schrödinger operator with singular repulsive potential under the assumption that the set of singularities of the potential is sufficiently thin. It is shown that for $d\geqslant2$ any positive regularization is stable and that for $d\geqslant4$ any regularization is stable. This means, in particular, that for potentials with discrete set of isolated singularities the Klauder effect can occur only in a one-dimensional quantum-mechanical system. 
@article{TMF_1978_37_2_a6,
     author = {I. D. Chueshov},
     title = {Stability of regularizations of the {Schr\"odinger} operator with singular repulsive potential},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {237--242},
     publisher = {mathdoc},
     volume = {37},
     number = {2},
     year = {1978},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1978_37_2_a6/}
}
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I. D. Chueshov. Stability of regularizations of the Schr\"odinger operator with singular repulsive potential. Teoretičeskaâ i matematičeskaâ fizika, Tome 37 (1978) no. 2, pp. 237-242. http://geodesic.mathdoc.fr/item/TMF_1978_37_2_a6/