Green’s function for the five-dimensional SU(2) MIC–Kepler problem

DOI10.1063/1.533128zbMath0978.81015OpenAlexW2022092405MaRDI QIDQ2737812

E. A. Tolkachev, M. V. Pletyukhov

Publication date: 30 August 2001

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

Full work available at URL: https://doi.org/10.1063/1.533128

zbMATH Keywords

Yang-Mills instantoneight-dimensional harmonic oscillatorZwanziger-like centrifugal term

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Geometry and quantization, symplectic methods (81S10) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)

Related Items (3)

Quadratic algebra structure in the 5D Kepler system with non-central potentials and Yang-Coulomb monopole interaction ⋮ On the orbits of magnetized Kepler problems in dimension \(2k+1\) ⋮ A non-Abelian SO(8) monopole as generalization of Dirac-Yang monopoles for a 9-dimensional space

Cites Work

• The quantized \(\text{SU}(2)\) Kepler problem and its symmetry group for negative energies
• Coulomb Green’s functions, in an n-dimensional Euclidean space
• On the Green function for a hydrogen-like atom in the Dirac monopole field plus the Aharonov-Bohm field
• 8D oscillator and 5D Kepler problem: The case of nontrivial constraints

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