8D oscillator and 5D Kepler problem: The case of nontrivial constraints

DOI10.1063/1.532761zbMath0979.81033OpenAlexW2068756887MaRDI QIDQ4701734

M. V. Pletyukhov, E. A. Tolkachev

Publication date: 21 November 1999

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

Full work available at URL: https://doi.org/10.1063/1.532761

zbMATH Keywords

Kepler problemsingular oscillator

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)

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Cites Work

• Geometric quantization of the multidimensional Kepler problem
• The quantized \(\text{SU}(2)\) Kepler problem and its symmetry group for negative energies
• THE FIVE-DIMENSIONAL KEPLER PROBLEM AS AN SU(2) GAUGE SYSTEM: ALGEBRAIC CONSTRAINT QUANTIZATION
• The four-dimensional conformal Kepler problem reduces to the three-dimensional Kepler problem with a centrifugal potential and Dirac’s monopole field. Classical theory
• An algebraic and geometric approach to non-bijective quadratic transformations
• The quantised MIC-Kepler problem and its symmetry group for negative energies
• Lie algebras under constraints and non-bijective canonical transformations