The potential harmonic expansion method

DOI10.1016/0003-4916(83)90212-9zbMath0559.35068OpenAlexW4365787176MaRDI QIDQ2266177

Michel Fabre de la Ripelle

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0003-4916(83)90212-9

zbMATH Keywords

Schrödinger equationhyperspherical harmonicsfermionsbosonspotential basiswave-functionkinematic rotation vectoroptimal subsetpotential harmonics

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Partial differential equations of mathematical physics and other areas of application (35Q99) Spherical harmonics (33C55)

Related Items (13)

N-body scattering solution in coordinate space ⋮ Spin-isospin effects on Isgur-Wise function for heavy-baryon transitions ⋮ Statistical fluctuations and quasi phase transition of mesoscopic Bose-Einstein condensation in anharmonic trap ⋮ Representation of cusps in a hyperspherical basis set ⋮ Computing an orthonormal basis of symmetric or antisymmetric hyperspherical harmonics ⋮ Investigation of the nuclear system using the D-dimensional wave equation ⋮ Investigation of N-identical few-body bound systems in the relativistic and non-relativistic description ⋮ SPECTRUM OF BARYONS AND SPIN–ISOSPIN DEPENDENCE ⋮ Method for solving the many-body bound state nuclear problem ⋮ Hyperspherical harmonics applied to an exactly solvable three-body problem: A simple illustration of current techniques ⋮ TWO-DIMENSIONAL INTEGRODIFFERENTIAL EQUATIONS FOR MULTI-STRANGE HYPERNUCLEI ⋮ Construction of hyperspherical functions symmetrized with respect to the orthogonal and the symmetric groups. ⋮ Masses of single, double, and triple heavy baryons in the hyper-central quark model by using GF-AEIM

Cites Work

• Unnamed Item
• The first order of hyperspherical harmonic expansion method
• Beyond the first order of the hyperspherical harmonic expansion method
• Certain integrals and infinite series involving ultra-spherical polynomials and Bessel functions
• The hyperspherical expansion method
• Generalized Angular Momentum in Many-Body Collisions

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