Representations of the Lorentz group corresponding to unstable particles

Daniel Zwanziger

    Research output: Contribution to journalArticle

    Abstract

    The irreducible nonunitary representations of the inhomogeneous Lorentz group which satisfy the condition that the complex energy-momentum 4 vectors be transformable into a rest frame by a real Lorentz rotation are found. By explicit construction of wave packets in configuration space it is seen that the vectors of the representation space have a natural interpretation as states of unstable particles. The new representations arise in the study of complex singularities associated with resonance poles in analytically continued scattering amplitudes.

    Original languageEnglish (US)
    Pages (from-to)2818-2819
    Number of pages2
    JournalPhysical Review
    Volume131
    Issue number6
    DOIs
    StatePublished - 1963

    Fingerprint

    scattering amplitude
    wave packets
    poles
    kinetic energy
    configurations

    ASJC Scopus subject areas

    • Physics and Astronomy(all)

    Cite this

    Representations of the Lorentz group corresponding to unstable particles. / Zwanziger, Daniel.

    In: Physical Review, Vol. 131, No. 6, 1963, p. 2818-2819.

    Research output: Contribution to journalArticle

    Zwanziger, Daniel. / Representations of the Lorentz group corresponding to unstable particles. In: Physical Review. 1963 ; Vol. 131, No. 6. pp. 2818-2819.
    @article{1b339952f37b495e821ebf9dcd11508e,
    title = "Representations of the Lorentz group corresponding to unstable particles",
    abstract = "The irreducible nonunitary representations of the inhomogeneous Lorentz group which satisfy the condition that the complex energy-momentum 4 vectors be transformable into a rest frame by a real Lorentz rotation are found. By explicit construction of wave packets in configuration space it is seen that the vectors of the representation space have a natural interpretation as states of unstable particles. The new representations arise in the study of complex singularities associated with resonance poles in analytically continued scattering amplitudes.",
    author = "Daniel Zwanziger",
    year = "1963",
    doi = "10.1103/PhysRev.131.2818",
    language = "English (US)",
    volume = "131",
    pages = "2818--2819",
    journal = "Physical Review",
    issn = "0031-899X",
    publisher = "American Institute of Physics Publising LLC",
    number = "6",

    }

    TY - JOUR

    T1 - Representations of the Lorentz group corresponding to unstable particles

    AU - Zwanziger, Daniel

    PY - 1963

    Y1 - 1963

    N2 - The irreducible nonunitary representations of the inhomogeneous Lorentz group which satisfy the condition that the complex energy-momentum 4 vectors be transformable into a rest frame by a real Lorentz rotation are found. By explicit construction of wave packets in configuration space it is seen that the vectors of the representation space have a natural interpretation as states of unstable particles. The new representations arise in the study of complex singularities associated with resonance poles in analytically continued scattering amplitudes.

    AB - The irreducible nonunitary representations of the inhomogeneous Lorentz group which satisfy the condition that the complex energy-momentum 4 vectors be transformable into a rest frame by a real Lorentz rotation are found. By explicit construction of wave packets in configuration space it is seen that the vectors of the representation space have a natural interpretation as states of unstable particles. The new representations arise in the study of complex singularities associated with resonance poles in analytically continued scattering amplitudes.

    UR - http://www.scopus.com/inward/record.url?scp=0010988519&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=0010988519&partnerID=8YFLogxK

    U2 - 10.1103/PhysRev.131.2818

    DO - 10.1103/PhysRev.131.2818

    M3 - Article

    AN - SCOPUS:0010988519

    VL - 131

    SP - 2818

    EP - 2819

    JO - Physical Review

    JF - Physical Review

    SN - 0031-899X

    IS - 6

    ER -