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q-deformed Hermite Polynomials in q-Quantum Mechanics - MaRDI portal

q-deformed Hermite Polynomials in q-Quantum Mechanics

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Publication:6503692

DOI10.1007/S100529800888arXivmath/9803050MaRDI QIDQ6503692

Author name not available (Why is that?)


Abstract: The q-special functions appear naturally in q-deformed quantum mechanics and both sides profit from this fact. Here we study the relation between the q-deformed harmonic oscillator and the q-Hermite polynomials. We discuss: recursion formula, generating function, Christoffel-Darboux identity, orthogonality relations and the moment functional.





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