Quantum three-body system in D dimensions

DOI10.1063/1.1476393zbMath1059.81042arXivphysics/0203026OpenAlexW3100547884MaRDI QIDQ4832637

Xiao-Yan Gu, Bin Duan, Zhong-Qi Ma

Publication date: 14 December 2004

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

Full work available at URL: https://arxiv.org/abs/physics/0203026

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) (n)-body potential quantum scattering theory (81U10)

Related Items (7)

Energy levels of \(P\)-wave states for a \(D\)-dimensional helium atom ⋮ The quantumn-body problem in dimensiond⩾n– 1: ground state ⋮ Interdimensional degeneracies in a quantum isolated four-body system ⋮ Three-body problem in d-dimensional space: Ground state, (quasi)-exact-solvability ⋮ Exactly complete solutions of the pseudoharmonic potential in \(N\)-dimensions ⋮ Interdimensional degeneracies for a quantum three-body system in \(D\) dimensions ⋮ Three-body problem in 3D space: ground state, (quasi)-exact-solvability

Cites Work

• Quantum three-body problems
• The path integration of a relativistic particle on aD-dimensional sphere
• Is there a stable hydrogen atom in higher dimensions?
• Determination of Wigner distribution function for the d-dimensional Coulomb problem
• Multidimensional extension of a Wentzel–Kramers–Brillouin improvement for spherical quantum billiard zeta functions
• Precise calculation for energy levels of a helium atom in \(P\) states

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