Recursive construction for a class of radial functions. II. Superspace

Guhr, T.; Kohler, H.

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Recursive construction for a class of radial functions. II. Superspace

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Guhr, T.
Prof. Hans A. Weidenmüller, Emeriti, MPI for Nuclear Physics, Max Planck Society;

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Kohler, H.
Prof. Hans A. Weidenmüller, Emeriti, MPI for Nuclear Physics, Max Planck Society;

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Guhr, T., & Kohler, H. (2002). Recursive construction for a class of radial functions. II. Superspace. Journal of Mathematical Physics, 43(5), 2741-2769.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0011-8350-3

Abstract

We extend the recursion formula for matrix Bessel functions, which we obtained previously, to superspace. It is sufficient to do this for the unitary orthosymplectic supergroup. By direct computations, we show that fairly explicit results can be obtained, at least up to dimension 8x8 for the supermatrices. Since we introduce a new technique, we discuss various of its aspects in some detail. (C) 2002 American Institute of Physics.