Article
A Lagrangian formulation of the JoosWeinberg wave equations for spin s particles
Il Nuovo Cimento A 01/1968; 57(2):210218. DOI: 10.1007/BF02891000
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Article: Spinone wave equation
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ABSTRACT: In this paper a manifestly covariant wave equation for a spin one particle is given in which the wave function has six components. The thirtysix bilinear covariants are exhibited. Formulas for the threevector, fourvector, and antisymmetric tensor polarization operators are given which are valid for any spin. The connections with other spinone formalisms are shown. In questo articolo si dà un’equazione d’onda manifestamente covariante per una particella con spin 1, in oui la funzione d’onda ha sei componenti. Si scrivono i trentasei covarianti bilineari. Si dànno le formule degli operatori di polarizzazione del trivettore, del quadrivettore e del tensore antisimmetrico, che sono valide per qualunque spin. Si mostrano le relazioni con altri formalismi valide per spin uno.Il Nuovo Cimento 04/1965; 36(4):13031315.  [Show abstract] [Hide abstract]
ABSTRACT: A Lorentz covariant description of a particle and antiparticle with spin s=0, 1/2, 1, ⋯ and finite rest mass is given in this paper. The wave function has 2(2s+1) components so that no auxiliary conditions are needed. The basic idea is to postulate the restsystem Hamiltonian and make the Lorentz transformation to the laboratory system. An algorithm which is a generalization of the FoldyWouthuysen transformation is found for constructing the laboratorysystem Hamiltonian and polarization operators.Physical Review 07/1964; 135.  [Show abstract] [Hide abstract]
ABSTRACT: From grouptheoretical considerations, invariant scattering amplitudes ; for twobody reactions of particles with arbitrary spins and nonzero masses are ; constructed in various forms, including helicity amplitudes and amplitudes free ; of kinematical singularities. They are linear combinations of spin basis ; functions with scalar coefficients. In the process of construction the Pauli ; spin matrices are generalized for arbitrary spin. On the basis of a Mandelstain ; representation for the scalar coefficients, the unique analytic continuation of ; the amplitudes in total angular momentum is obtained. Possible kinematical ; singularities of the scalar amplitudes at the boundary of the physical region are ; discussed. (auth)Physical Review 04/1963; 130(1):442457.
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