Let us consider an electron state in a hydrogen atom characterized by quantum numbers n ≳ 1 and l = n - 1, which corresponds, as it is known, to circular orbits. Is the radial wave function Rn,n-1(r) of this state semiclassical? At first sight, no. Indeed, the radial quantum number nr = n - l - 1 is in this case in no way large, but is equal to zero, so that the wave function Rn,n-1(r) has no nodes at all.

Original languageEnglish
Title of host publicationTheoretical Kaleidoscope
EditorsI.B. Khriplovich
Pages23-44
Number of pages22
DOIs
StatePublished - 11 Jan 2008

Publication series

NameLecture Notes in Physics
Volume748
ISSN (Print)0075-8450

    Scopus subject areas

  • Physics and Astronomy (miscellaneous)

ID: 36641376