\(\mathrm{O}(6)\) algebraic approach to three bound identical particles in the hyperspherical adiabatic representation

DOI10.1016/j.physleta.2016.04.008zbMath1360.33014OpenAlexW2340559875MaRDI QIDQ527312

V. Dmitrašinović, Igor Salom

Publication date: 11 May 2017

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2016.04.008

zbMATH Keywords

quantum mechanicsalgebraic methods in quantum mechanicssolutions of wave equations: bound states

Mathematics Subject Classification ID

Three-body problems (70F07) (n)-body potential quantum scattering theory (81U10) Spherical harmonics (33C55)

Related Items (1)

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

Cites Work

• Unnamed Item
• Hidden symmetries of integrable conformal mechanical systems
• Construction of hyperspherical functions symmetrized with respect to the orthogonal and the symmetric groups.
• A gauge theory for the quantum planar three-body problem
• Invariants of the spherical sector in conformal mechanics
• SO(4) algebraic approach to the three-body bound state problem in two dimensions
• The group theoretical description of the three-body problem
• Use of symbolic algebra in the calculation of hyperspherical harmonics
• Particle Physics and the Schrödinger Equation
• Classification of three-particle states according to an orthonormal SU(3)⊇SO(3) basis
• Permutation-Symmetric Three-Body O(6) Hyperspherical Harmonics in Three Spatial Dimensions
• The Helium Wave Equation
• The Helium Wave Equation

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