Generalizations of the Dirac Equation and the Modified Bargmann-Wigner Formalism

Abstract

We present various generalizations of the Dirac formalism. The different-parity solutions of the Weinberg's 2(2J+1)-component equations are found. On this basis, generalizations of the Bargmann-Wigner (BW) formalism are proposed. Relations with modern physics constructs are discussed.

Misprint corrected in the formula (57)

References in corpus (2)

• Relativity and Nonlocality
• Weinberg's Approach and Antisymmetric Tensor Fields

Cited by in corpus (3)

• Helicity Basis and Parity
• Antisymmetric Tensor Fields, 4-Potentials and Indefinite Metrics
• Chiral Bargmann-Wigner Equations for Spin-1 Massive Fields