Hurwitz transformation and oscillator representation of a 5D ``isospin particle

DOI10.1016/S0034-4877(99)80039-1zbMath0948.81596MaRDI QIDQ1305730

Michael Pletyukhov, Eugeny Tolkachev

Publication date: 20 November 2000

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

harmonic oscillatorkepler problem

Mathematics Subject Classification ID

Two-body problems (70F05) Groups and algebras in quantum theory (81R99) General quantum mechanics and problems of quantization (81S99) Celestial mechanics (70F15) Orbital mechanics (70M20) Hamiltonian and Lagrangian mechanics (70H99)

Related Items (4)

Quadratic algebra structure in the 5D Kepler system with non-central potentials and Yang-Coulomb monopole interaction ⋮ Reduction of the classical MICZ-Kepler problem to a two-dimensional linear isotropic harmonic oscillator ⋮ Variables separation and superintegrability of the nine-dimensional MICZ-Kepler problem ⋮ Generalized five-dimensional Kepler system, Yang-Coulomb monopole, and Hurwitz transformation

Cites Work

• Unnamed Item
• The geometry of the SU(2) 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
• Transformation between a hydrogen atom and a harmonic oscillator of arbitrary dimensions

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