Unitary Representations of the Homogeneous Lorentz Group in an O(1,1)⊗O(2) Basis and Some Applications to Relativistic Equations | Zendy

E. G. Kalnins | Zendy

Open Access

Unitary Representations of the Homogeneous Lorentz Group in an O(1,1)⊗O(2) Basis and Some Applications to Relativistic Equations

Author(s) -

E. G. Kalnins

Publication year - 1972

Publication title -

journal of mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.708

H-Index - 119

eISSN - 1089-7658

pISSN - 0022-2488

DOI - 10.1063/1.1666136

Subject(s) - lorentz group , lorentz transformation , unitary state , group (periodic table) , mathematics , mathematical physics , unitary group , representation theory of the lorentz group , basis (linear algebra) , homogeneous , invariant (physics) , lorentz covariance , irreducible representation , pure mathematics , dirac (video compression format) , matrix (chemical analysis) , physics , quantum mechanics , combinatorics , lie algebra , geometry , fundamental representation , neutrino , political science , law , weight , materials science , composite material

Unitary irreducible representations of the homogeneous Lorentz group O(3, 1) belonging to the principal series are reduced with respect to the subgroup O(1,1) O(2). As an application we determine the mixed basis matrix elements between O(3) and O(1,1) O(2) bases and derive recurrence relations for them. This set of functions is then used to obtain invariant expansions of solutions of the Dirac and Proca free field equations. These expansions are shown to have the correct nonrelativistic limit

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research