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arxiv: math/0410389 · v1 · submitted 2004-10-18 · 🧮 math.QA · hep-th· math.SP

The Eigenfunctions of the q-Harmonic Oscillator on the Quantum Line

classification 🧮 math.QA hep-thmath.SP
keywords eigenfunctionslineoscillatorquantumcompleteconstructconstructedcorresponding
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We construct a complete set of eigenfunctions of the q-deformed harmonic oscillator on the quantum line. In particular the eigenfunctions corresponding to the non-Fock part of the spectrum will be constructed.

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