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Charlier Polynomials and Charlier Oscillator as Discrete Realization of the Harmonic Oscillator

โœ Scribed by V. V. Borzov; E. V. Damaskinskii

Publisher
Springer US
Year
2005
Tongue
English
Weight
112 KB
Volume
128
Category
Article
ISSN
1573-8795

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๐Ÿ“œ SIMILAR VOLUMES

Charlier Polynomials and Translational I
Charlier Polynomials and Translational Invariance in the Quantum Harmonic Oscillator
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