Permutation-Symmetric Three-Body O(6) Hyperspherical Harmonics in Three Spatial Dimensions

DOI10.1007/978-981-10-2636-2_31zbMath1368.81071arXiv1603.08369OpenAlexW2963757201MaRDI QIDQ5278154

V. Dmitrašinović, Igor Salom

Publication date: 13 July 2017

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.08369

Mathematics Subject Classification ID

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) Spherical harmonics (33C55)

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

• 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
• The group theoretical description of the three-body problem
• The Helium Wave Equation
• The Helium Wave Equation

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