1993/07/09 by Richard A. Askey, Serge\uı K. Suslov · 1 citation
Mathematics · #math.CA #math.QA
paper · pdf · doi:10.1007/bf00749728
arxiv created 1993/07/09 · arxiv updated 2016/09/06
One more model of a q-harmonic oscillator based on the q-orthogonal polynomials of Al-Salam and Carlitz is discussed. The explicit form of q-creation and q-annihilation operators, q-coherent states and an analog of the Fourier transformation are established. A connection of the kernel of this transform with a family of self-dual biorthogonal rational functions is observed.