Orthosymplectically invariant functions in superspace

DOI10.1063/1.3462685zbMath1312.46065arXiv1006.4744OpenAlexW3101238246MaRDI QIDQ5253713

Hendrik De Bie, Kevin Coulembier, Fransiscus Sommen

Publication date: 27 May 2015

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

Full work available at URL: https://arxiv.org/abs/1006.4744

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Functional analysis on superspaces (supermanifolds) or graded spaces (46S60)

Related Items (11)

Fischer decomposition for polynomials on superspace ⋮ Divergence theorems and the supersphere ⋮ The spin group in superspace ⋮ On the Radon transform and the Dirac delta distribution in superspace ⋮ Distributions and integration in superspace ⋮ A Fock model and the Segal-Bargmann transform for the minimal representation of the orthosymplectic Lie superalgebra \(\mathfrak{osp}(m, 2 | 2n)\) ⋮ Clifford algebras, Fourier transforms, and quantum mechanics ⋮ Generalized Cauchy-Kovalevskaya extension and plane wave decompositions in superspace ⋮ Conformal symmetries of the super Dirac operator ⋮ Hilbert space for quantum mechanics on superspace ⋮ The weighted super-Bergman kernels of \(\mathbb B^{m| n}\) and Integral Representations of the Invariant Inner Products on \(H^2_\nu (\mathbb {B}^m)\)

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