SUSLOV: The q-harmonic oscillator and the Al-Salam and Carlitz polynomials

@inproceedings{Askey1993SUSLOVTQ,
  title={SUSLOV: The q-harmonic oscillator and the Al-Salam and Carlitz polynomials},
  author={Richard Askey and Sergei K. Suslov},
  year={1993}
}
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… CONTINUE READING