Generalized Q-Exponentials Related to Orthogonal Quantum Groups and Fourier Transformations of Noncommutative Spaces

Details Generalized Q-Exponentials Related to Orthogonal Quantum Groups and Fourier Transformations of Noncommutative Spaces Generalized Q-Exponentials Related to Orthogonal Quantum Groups and Fourier Transformations of Noncommutative Spaces

1994-09-22

arxiv.org/abs/hep-th/9409132v3

J.Math.Phys. 36 (1995) 1531-1546

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, LBL-36151; UCB-PTH-94/24 (no changes, mailed differently, hopefully without mailer corruptions)

Scientific paper

10.1063/1.531136

An essential prerequisite for the study of q-deformed physics are particle states in position and momentum representation. In order to relate x- and p-space by Fourier transformations the appropriate q-exponential series related to orthogonal quantum symmetries is constructed. It turns out to be a new q-special function giving rise to q-plane wave solutions that transform with a noncommuting phase under translations.

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