The quantum mechanical current of the Pauli equation

Marek Nowakowski

    Research output: Contribution to journalArticleResearchpeer-review

    19 Citations (Scopus)

    Abstract

    We argue that the process of constructing the quantum mechanical current of the Pauli equation by copying the line of argument used in the spin-0 case, i.e., the Schrödinger equation, is ambiguous. We show that a nonrelativistic reduction of the relativistic Dirac four-vector current is, however, capable of fully resolving the problem. This analysis reveals that the nonrelativistic current of the Pauli equation should include an extra term of the form ∇×(ψ†σψ). We present an initial exploration of the potential consequences of this new "spin term" by solving the Pauli equation for crossed magnetic and electric fields and calculating the corresponding current. © 1999 American Association of Physics Teachers.
    Original languageEnglish
    Pages (from-to)916-919
    JournalAmerican Journal of Physics
    Volume67
    Issue number10
    DOIs
    Publication statusPublished - 1 Jan 1999

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