Algebraic calculation of nonrelativistic coulomb phase shifts

Daniel Zwanziger

    Research output: Contribution to journalArticlepeer-review

    Abstract

    It is observed that the in and out states of a particle of energy k 2/2m, entering or leaving a Coulomb field along the +z direction, are eigenstates of L3 with eigenvalue 0, and of A3, the third component of the Runge-Lenz vector, with eigenvalues ±αx+ik/m, respectively. From this characterization and the commutation relations of the symmetry group, the phase shifts are easily obtained algebraically.

    Original languageEnglish (US)
    Pages (from-to)1858-1860
    Number of pages3
    JournalJournal of Mathematical Physics
    Volume8
    Issue number9
    DOIs
    StatePublished - 1967

    ASJC Scopus subject areas

    • Statistical and Nonlinear Physics
    • Mathematical Physics

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