On the Coulomb potential in dimension one

Pavel Kurasov

Research output: Contribution to journalArticlepeer-review

Abstract

a mathematically rigorous definition of the one-dimensional Schrodinger operator -d(2)/dx(2)-gamma/x is given, It is proven that the domain of the operator is defined by the boundary conditions connecting the values of the function on the left and right half-axes. The investigated operator is compared with the Schrodinger operator containing the Coulomb potential -gamma/x.
Original languageEnglish
Pages (from-to)1767-1771
JournalJournal of Physics A: Mathematical and General
Volume29
Issue number8
DOIs
Publication statusPublished - 1996

Subject classification (UKÄ)

  • Mathematics

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