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• W2005449921 abstract "Following Leutwyler and Stern, the two-particle covariant harmonic-oscillator model of Feynman, Kislinger, and Ravndal is reformulated within the framework of light-front dynamics. The light-front dynamics of the oscillator is obtained by constraining the manifestly covariant formulation to the null plane, ct+z=0. An inner product for the null-plane wave functions is developed, and it is shown that the light-front mass operator M and spin operator scrJ are Hermitian with respect to this inner product. Interaction dependent, nonlocal relative position and momentum operators Q and P, are introduced, and the mass and spin operators are expressed in terms of them. It is found that the part of ${mathit{M}}^{2}$ that contains the dynamics is proportional to a nonrelativistic harmonic-oscillator Hamiltonian in P and Q, and that the spin operator scrJ=Qifmmodetimeselsetexttimesfi{}P. The eigenstates of Q and P are determined, and are used to construct position and momentum representations for the null-plane oscillator. In these representations the light-front dynamics takes on the appearance of nonrelativistic quantum mechanics. In particular, the nonlocal inner product for the null-plane wave functions goes over to the local nonrelativistic form. The obvious relevance of these results to the quark model of the hadrons is briefly discussed." @default.
• W2005449921 created "2016-06-24" @default.
• W2005449921 creator A5067053347 @default.
• W2005449921 date "1990-10-15" @default.
• W2005449921 modified "2023-09-23" @default.
• W2005449921 title "Light-front dynamics of the covariant harmonic oscillator" @default.
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• W2005449921 doi "https://doi.org/10.1103/physrevd.42.2898" @default.
• W2005449921 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/10013162" @default.
• W2005449921 hasPublicationYear "1990" @default.
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