\(C_\lambda\)-extended oscillator algebras: Theory and applications to (variants of) supersymmetric quantum mechanics (Q2711724)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(C_\lambda\)-extended oscillator algebras: Theory and applications to (variants of) supersymmetric quantum mechanics |
scientific article |
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25 April 2001
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extended oscillator algebra
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Calogero-Vasiliev algebra
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supersymmetric quantum mechanics
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\(C_\lambda\)-extended oscillator algebras: Theory and applications to (variants of) supersymmetric quantum mechanics (English)
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\(C_\lambda\)-extended oscillator algebras, where \(C_\lambda\) is the cyclic group of order \(\lambda\), are introduced and realized as generalized deformed oscillator algebras. For \(\lambda =2\) they are isomorphic to the well-known Calogero-Vasiliev algebra. For higher \(\lambda\) they are applied to supersymmetric quantum mechanics for cyclic shape invariant potentials of period \(\lambda\), and also to bosonization of parasupersymmetric, pseudosupersymmetric, and orthosupersymmetric quantum mechanics.NEWLINENEWLINEFor the entire collection see [Zbl 0937.00046].
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