Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Foundations of Physics Letters

Exact Solutions with Arbitrary Permutation Symmetry in a Three-Body Harmonic Oscillator

Lu-Ya Wang, Zhong-Qi Ma

Published Dec 1, 2001• 0 citations
Publisher
DOI
10.1023/a:1015513923982

Related papers

EXACT SOLUTIONS TO THE N-BODY SCHRÖDINGER EQUATION FOR THE HARMONIC OSCILLATOR

Zhong-Qi Ma

Foundations of Physics Letters•Apr 1, 2000•9 citations

Exact solution of the four-body Faddeev-Yakubovsky equations for the harmonic oscillator

Alexander L. Zubarev, Victor B. Mandelzweig

The Faddeev-Yakubovsky equations for four identical spinless particles in three-dimensional space interacting via harmonic-oscillator two-body potentials are solved analytically for any excitation and for an arbitrary value of the total angular momentum.

Physical Review C•Jul 1, 1994•4 citations

Nonspurious harmonic oscillator states in single particle coordinates

Akiva Novoselsky, Jacob Katriel

A procedure for the construction of nonspurious harmonic oscillator wave functions with arbitrary permutational symmetry has recently been proposed. The resulting wave functions are expressed in terms of normalized Jacobi coordinates, and involve a new type of harmonic oscillator coefficients of fractional parentage. A simple algorithm to transform these states from the Jacobi coordinates to the single particle coordinates is presented. This is a generalization to an arbitrary number of particles of the harmonic oscillator transformation from center-of-mass and relative coordinates to single particle coordinates.

Journal of Mathematical Physics•May 1, 1990•1 citation

Exact wave functions for generalized harmonic oscillators

Nathan A. Lanfear, Raquel M. López, Sergeĭ K. Suslov

Journal of Russian Laser Research•Jul 1, 2011•39 citations

Solution of an exactly solvable quantum-mechanical three-body problem

Emil Coffou

Il Nuovo cimento della Società italiana di fisica. B/Il Nuovo cimento B•Jun 1, 1969•1 citation

The quantum mechanical few-body problem

John W. Norbury

A solution to quantum mechanical problems of two, three, and four bodies is discussed from the point of view of two-body harmonic oscillator forces. An exact solution to the three- and four-body problems is found for harmonic oscillator forces, assuming equal masses. The aim of the discussion is to make students aware of the real difficulties of the few-body problem.

American Journal of Physics•Mar 1, 1989•5 citations
A procedure for the construction of nonspurious harmonic oscillator wave functions with arbitrary permutational symmetry has recently been proposed. The resulting wave functions are expressed in terms of normalized Jacobi coordinates, and involve a new type of harmonic oscillator coefficients of fractional parentage. A simple algorithm to transform these states from the Jacobi coordinates to the single particle coordinates is presented. This is a generalization to an arbitrary number of particles of the harmonic oscillator transformation from center-of-mass and relative coordinates to single particle coordinates.