On q-deformed supersymmetric classical mechanical models

DOI10.1063/1.531767zbMath0937.81035arXivhep-th/9504101OpenAlexW2038936704MaRDI QIDQ5284679

J. L. Matheus-Valle, L. P. Colatto

Publication date: 12 February 1997

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9504101

zbMATH Keywords

generatorquantum groupscovariant derivative\(q\)-superspacegeneralization of supersymmetric classical mechanicspara-Grassmannian variables

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Supersymmetry and quantum mechanics (81Q60) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)

Related Items (4)

Fractional supersymmetry and hierarchy of shape invariant potentials ⋮ 2D fractional supersymmetry and conformal field theory for alternative statistics ⋮ Fibonacci oscillators in the Landau diamagnetism problem ⋮ Fractional supersymmetry and infinite dimensional Lie algebras

Cites Work

• Compact matrix pseudogroups
• PARAGRASSMANN ANALYSIS AND QUANTUM GROUPS
• QUANTUM GROUP GENERALIZATION OF THE CLASSICAL SUPERSYMMETRIC POINT PARTICLE
• FRACTIONAL SUPERSPACE FORMULATION OF GENERALIZED MECHANICS
• The quantum group SU_q(2) and a q-analogue of the boson operators
• On a q-deformation of the supersymmetric Witten model
• Group theoretical foundations of fractional supersymmetry

This page was built for publication: On q-deformed supersymmetric classical mechanical models