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The q-harmonic oscillator and an analogue of the Charlier polynomials

โœ Scribed by Askey, R; Suslov, S K


Book ID
120503254
Publisher
Institute of Physics
Year
1993
Tongue
English
Weight
203 KB
Volume
26
Category
Article
ISSN
0305-4470

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Charlier Polynomials and Translational I
โœ Franciszek Hugon Szafraniec ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 151 KB

In a recent paper the creation operator of the quantum harmonic oscillator (its counterpart, the annihilation one as well) is characterized through its (spatial) translational invariance property. Here we step up with replacing the operator theoretic reasoning of [5] by an orthogonal polynomial env