SO(4) algebraic approach to the three-body bound state problem in two dimensions

DOI10.1063/1.4891399zbMath1295.81052OpenAlexW2086555381MaRDI QIDQ3189922

V. Dmitrašinović, Igor Salom

Publication date: 12 September 2014

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

Full work available at URL: https://doi.org/10.1063/1.4891399

zbMATH Keywords

selection ruleshyper-radial wave function

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Atomic physics (81V45)

Related Items (2)

Permutation-symmetric three-particle hyper-spherical harmonics based on the \(\operatorname{S}_{3}\otimes\operatorname{SO}(3)_{rot} \subset \operatorname{O}(2)\otimes\operatorname{SO}(3)_{ rot} \subset \operatorname{U}(3) \rtimes \operatorname{S}_{2} \subset \operatorname{O}(6)\) subgroup chain ⋮ \(\mathrm{O}(6)\) algebraic approach to three bound identical particles in the hyperspherical adiabatic representation

Cites Work

• Über die Abbildungen der dreidimensionalen Sphäre auf die Kugelfläche
• On the 3-anyon harmonics
• A gauge theory for the quantum planar three-body problem
• The relationship between monopole harmonics and spin-weighted spherical harmonics
• Spectrum of three anyons in a harmonic potential and the third virial coefficient
• Kinematic orbits and the structure of the internal space for systems of five or more bodies
• The reduction of a quantum system of three identical particles on a plane
• Global and Democratic Methods for Classifying N-Particle States
• Coordinates and Democracy in the N-Body Problem

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