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EUCLIDEAN GROUPS IN TWO- AND THREE-DIMENSIONAL SPACE

      https://doi.org/10.1142/9789812384980_0009Cited by:0 (Source: Crossref)
      Abstract:

      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