Exact solution of the Faddeev equations for the harmonic oscillator ground state

Journal Article · Tue Jul 01 04:00:00 EDT 1980 · Phys. Rev., C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.22.284· OSTI ID:5293283

Friar, J L; Gibson, B F; Payne, G L

The Faddeev equations in N space dimensions for three identical spinless particles in their ground state interacting via harmonic oscillator, two-body potentials is solved analytically. Unlike the well-known Schroedinger solution, the individual Faddeev amplitudes may be negative and contain a long-range component of arbitrary strength. Upon symmetrizing to obtain the full wave function, this component vanishes and the Schroedinger solution results. Three-dimensional plots of the various wave functions are presented.

• Research Organization: Theoretical Division, Los Alamos Scientific Laboratory, University of California, Los Alamos, New Mexico 87545
• OSTI ID: 5293283
• Journal Information: Phys. Rev., C; (United States), Journal Name: Phys. Rev., C; (United States) Vol. 22:1; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BESSEL FUNCTIONS
BOUND STATE
DIFFERENTIAL EQUATIONS
EQUATIONS
FADDEEV EQUATIONS
FUNCTIONS
HARMONIC POTENTIAL
MANY-BODY PROBLEM
NUCLEAR POTENTIAL
POTENTIALS
SCHROEDINGER EQUATION
THREE-BODY PROBLEM
TWO-BODY PROBLEM
WAVE EQUATIONS
WAVE FUNCTIONS