6533b826fe1ef96bd1284662

RESEARCH PRODUCT

Invarianzgruppen von Bewegungsgleichungen mit Kommutatorring

H. Weicksel

subject

PhysicsNuclear and High Energy Physicssymbols.namesakePauli exclusion principleIsospinLorentz transformationsymbolsEquations of motionInvariant (physics)Hermitian matrixHelicityMathematical physics

description

An attempt to describe particles by hermitian operators obeying commutator relations leads to a ring of sixteen elements to be represented by matrices of infinite rank. Equations of motion containing elements of the ring are shown to be invariant under charge-conjugation, time-reversal and inhomogeneous Lorentz transformations. Analogs to Pauli- and Gursey-transformations can also be defined and may be used to introduce isospin and helicity.

https://doi.org/10.1007/bf01326251