1966•Journal of Mathematical PhysicsOpen access

Representations of the Homogeneous Galilei Group in a Spherical Basis and the Asymptotic Behavior of Relativistic Special Functions

J. Voisin

Abstract

The irreducible unitary representations of the Galilei group Gh are obtained in the base |lm〉 from their expression in the base |q〉 (Mackey's representation). The faithful representations are then considered as asymptotic expressions for the representation matrices of the principal series of the Lorentz group.

About this research paper

What this paper is about

Why it matters

OpenAlex reports 3 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Key concepts: Lorentz group, Representation theory of the Lorentz group, Unitary representation, Group (periodic table), Lorentz transformation, Unitary state, Irreducible representation, Representation (politics)