SUSLOV: The q-harmonic oscillator and the Al-Salam and Carlitz polynomials
نویسندگان
چکیده
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.
منابع مشابه
. C A ] 9 J ul 1 99 3 The q - Harmonic Oscillator and an Analog of the Charlier polynomials
A model of a q-harmonic oscillator based on q-Charlier poly-nomials of Al-Salam and Carlitz is discussed. Simple explicit realization of q-creation and q-annihilation operators, q-coherent states and an ana-log of the Fourier transformation are found. A connection of the kernel of this transform with biorthogonal rational functions is observed. Models of q-harmonic oscillators are being develop...
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