Generalizations of the Dirac Equation and the Modified Bargmann-Wigner Formalism
Valeri V. Dvoeglazov (Universidad de Zacatecas)
TL;DR
This paper explores extensions of the Dirac and Bargmann-Wigner formalisms, presenting new solutions and generalizations that relate to modern physics concepts.
Contribution
It introduces generalized formalisms for Dirac and Bargmann-Wigner equations, including solutions with different parity and connections to contemporary physics.
Findings
Found different-parity solutions of Weinberg's equations
Proposed generalizations of the Bargmann-Wigner formalism
Discussed relations with modern physics constructs
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.
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Taxonomy
TopicsQuantum and Classical Electrodynamics · Quantum Mechanics and Applications · Algebraic and Geometric Analysis