Algebraic solution of the supersymmetric hydrogen atom in \(d\) dimensions.

DOI10.1016/S0003-4916(03)00003-4zbMath1077.81034arXivhep-th/0208228OpenAlexW2160186998MaRDI QIDQ1869988

A. Kirchberg, Andreas Wipf, Jean Dominique Länge, Pablo A. G. Pisani

Publication date: 4 May 2003

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

Full work available at URL: https://arxiv.org/abs/hep-th/0208228

zbMATH Keywords

mechanicsLaplace-Runge-Lenz vectorDynamical symmetryHydrogen atomSupersymmetric quantum

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Supersymmetry and quantum mechanics (81Q60) Operator algebra methods applied to problems in quantum theory (81R15)

Related Items (13)

Does Dirac equation for a generalized Coulomb-like potential in \(\mathrm D+1\) dimensional flat space-time admit any solution for \(D\geq 4\)? ⋮ A confined hydrogen atom in higher space dimensions ⋮ Algebra of the spinor invariants and the relativistic hydrogen atom ⋮ Supersymmetry versus integrability in two-dimensional classical mechanics. ⋮ Exactly complete solutions of the pseudoharmonic potential in \(N\)-dimensions ⋮ Orthosymplectic Lie superalgebras in superspace analogues of quantum Kepler problems ⋮ Extended supersymmetries and the Dirac operator ⋮ From the Dirac operator to Wess-Zumino models on spatial lattices ⋮ On the existence of hydrogen atoms in higher dimensional Euclidean spaces ⋮ Fate of accidental symmetries of the relativistic hydrogen atom in a spherical cavity ⋮ Hidden symmetry and (super)conformal mechanics in a monopole background ⋮ Any ℓ-state solutions of the Hulthén potential in arbitrary dimensions ⋮ Exact supersymmetry in the relativistic hydrogen atom in general dimensions—supercharge and the generalized Johnson-Lippmann operator

Uses Software

• LiE

Cites Work

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• Dynamical breaking of supersymmetry
• Supersymmetry and the Dirac equation
• Supersymmetry and Morse theory
• SUSY in the sky.
• The classical supersymmetric Coulomb problem
• Introduction to Lie Algebras and Representation Theory

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