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Regularized potentials in nonrelativistic quantum mechanics

I. The one dimensional case

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Czechoslovak Journal of Physics B Aims and scope

Abstract

Using scaling technique, we describe all self-adjoint extensions of Schrödinger operator with a singular potential in one dimension as a limit of Schrödinger operators with regular local potentials.

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Authors and Affiliations

  1. Nuclear Centre, Faculty of Mathematics and Physics, Charles University, V Holešovičkách 2, 180 00, Praha 8, Czechoslovakia

    P. Šeba

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  1. P. Šeba
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Additional information

I am indebted to Dr. H. Englisch for stimulating discussions. I am also grateful to the Department of Mathematics at the Karl-Marx-University Leipzig, where this work was made possible.

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Šeba, P. Regularized potentials in nonrelativistic quantum mechanics. Czech J Phys 36, 455–461 (1986). https://doi.org/10.1007/BF01597625

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  • DOI: https://doi.org/10.1007/BF01597625

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