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- W1986665329 abstract "We construct the matrix elements of both finite transformations and infinitesimal generators in irreducible representations of the motion group U(2) σ C2×2 with the aid of the contraction limit of the analogous structures of U(4). The matrix elements of finite transformations are found to have a structure similar to that of the classical Bessel function in that they contain two inverse gamma matrices which couple Wigner D functions. An integral representation is established and related to the matrix-valued Bessel functions of Gross and Kunze. By means of the representation property of the matrix elements we obtain a new sum rule for classical Bessel functions and an analog of the binomial theorem for the sum of two 2×2 matrices which involves the U(2) gamma matrix instead of the classical gamma function." @default.
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- W1986665329 date "1980-08-01" @default.
- W1986665329 modified "2023-10-18" @default.
- W1986665329 title "Generalized Bessel functions and the representation theory of U(2) σ C2×2" @default.
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- W1986665329 doi "https://doi.org/10.1063/1.524708" @default.
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