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} \sub
DOI10.1016/j.nuclphysb.2017.04.024zbMath1364.81116OpenAlexW2613814182MaRDI QIDQ2358017
Publication date: 20 June 2017
Published in: Nuclear Physics. B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nuclphysb.2017.04.024
Three-body problems (70F07) 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) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Linear algebraic groups over global fields and their integers (20G30) Spherical harmonics (33C55) Linear algebraic groups over adèles and other rings and schemes (20G35)
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Cites Work
- \(\mathrm{O}(6)\) algebraic approach to three bound identical particles in the hyperspherical adiabatic representation
- Programs for generating Clebsch-Gordan coefficients of \(SU(3)\) in \(SU(2)\) and \(SO(3)\) bases
- Algorithms for computing \(U(N)\) Clebsch-Gordan coefficients
- Everything you always wanted to know about \(SU(3)\subset 0(3)\)
- Construction of hyperspherical functions symmetrized with respect to the orthogonal and the symmetric groups.
- Hyperspherical harmonics expansion techniques. Application to problems in physics
- Clebsch–Gordan coefficients of SU(3) in SU(2) and SO(3) bases
- A gauge theory for the quantum planar three-body problem
- SO(4) algebraic approach to the three-body bound state problem in two dimensions
- The group theoretical description of the three-body problem
- Generalized Angular Momentum in Many-Body Collisions
- Use of symbolic algebra in the calculation of hyperspherical harmonics
- Clebsch-Gordan coefficients of SU(3) with simple symmetry properties
- The relationship between monopole harmonics and spin-weighted spherical harmonics
- A new method for calculating the hyperspherical functions for the quantum mechanics of three bodies
- An algebraic algorithm for calculating Clebsch–Gordan coefficients; application to SU(2) and SU(3)
- Classification of three-particle states according to an orthonormal SU(3)⊇SO(3) basis
- Complete sets of commuting operators and O (3) scalars in the enveloping algebra of SU (3)
- Permutation-Symmetric Three-Body O(6) Hyperspherical Harmonics in Three Spatial Dimensions
- A Symmetric Representation for Three-Body Problems. I. Motion in a Plane
- Construction ofSU(3) irreps in canonicalSO(3)-coupled bases
- Relativistic Three-Particle SU3 States
- Coordinates and Democracy in the N-Body Problem
- On the Decomposition of Tensors by Contraction
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