Parasupersymmetric Quantum Mechanics with Generalized Deformed Parafermions
J. Beckers, N. Debergh, C. Quesne
TL;DR
This paper explores deformations of parasupersymmetric quantum mechanics using generalized deformed parafermions and constructs new Hamiltonians based on nonlinear su(2) deformations, expanding the theoretical framework of supersymmetry.
Contribution
It introduces a novel approach to parasupersymmetric quantum mechanics by incorporating generalized deformed parafermions and develops new Hamiltonians linked to nonlinear su(2) deformations.
Findings
New families of parasupersymmetric Hamiltonians constructed.
Deformations based on arbitrary paraquantization order p.
Connections with Polychronakos and Roček's su(2) nonlinear deformations.
Abstract
A superposition of bosons and generalized deformed parafermions corresponding to an arbitrary paraquantization order is considered to provide deformations of parasupersymmetric quantum mechanics. New families of parasupersymmetric Hamiltonians are constructed in connection with two examples of su(2) nonlinear deformations such as introduced by Polychronakos and Ro\v cek.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsNonlinear Waves and Solitons · Quantum Mechanics and Non-Hermitian Physics · Algebraic structures and combinatorial models