EUCLIDEAN GROUPS IN TWO- AND THREE-DIMENSIONAL SPACE
The following sections are included:
The Euclidean Group in Two Dimensional Space E2
Unitary Irreducible Representations of E2– The Angular-Momentum Basis
The Induced Representation Method and the Plane-Wave Basis
Differential Equations, Recursion Formulas, and Addition Theorem of the Bessel Function
Group Contraction–SO(3) and E2
The Euclidean Group in Three Dimensions: E3
Unitary Irreducible Representations of E3 by the Induced Representation Method
Angular Momentum Basis and the Spherical Bessel Function
Problems