Spherical Functions in the 1+1 Conformal Group

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概要

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• Noting that the Casimir operators of the 1+1 conformal group SO(2, 2) are vanishing identically, we discuss its SO(2, 1) subgroups. With them, we define the spherical function and present the differential equation for it. It contains the Tchebycheff as its special case. Regular solutions are given in terms of the hypergeometric function. They provide a system of orthogonal functions.

• 一般社団法人日本物理学会の論文
• 1992-10-25

著者

• KOBAYASHI Ken-Ichiro

  Institute for Nuclear Study, University of Tokyo

• KOBAYASHI Kenzo

  Faculty of Engineering, Mie University

• Kobayashi Kozo

  Department of Physics, Saitama University

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