On Generalized Quantum Deformations and Symmetries in Quantum Mechanics
Jules Beckers
TL;DR
This paper explores the role of generalized quantum deformations in supersymmetric and parasupersymmetric quantum mechanics, revealing new insights and potential applications in solvable physical models.
Contribution
It introduces a connection between generalized quantum deformations and parasupersymmetric quantum mechanics at the specific case p=2.
Findings
Parasupersymmetric quantum mechanics analyzed at p=2
New insights into quantum deformations in supersymmetry
Potential applications in solvable models
Abstract
Supersymmetric and parasupersymmetric quantum mechanics are now recognized as two further parts of quantum mechanics containing a lot of new informations enlightening (solvable) physical applications. Both contents are here analysed in connection with generalized quantum deformations. In fact, the parasupersymmetric context is visited when the order of paraquantization p is limited to the first nontrivial value p = 2.
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Taxonomy
TopicsNonlinear Waves and Solitons