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

Physical Review C

Exact solution of the bound-state Faddeev-Yakubovsky equations for one-dimensional systems with a δ-function interaction

Alexander L. Zubarev, Victor B. Mandelzweig

Published Aug 1, 1995• 2 citations
Publisher

Abstract

The Faddeev-Yakubovsky equations for four identical spinless particles in one-dimensional space interacting via δ-function potentials are solved analytically for a bound state.Received 13 February 1995DOI:https://doi.org/10.1103/PhysRevC.52.509©1995 American Physical Society

DOI
10.1103/physrevc.52.509

Related papers

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

Exact Solution of the Faddeev Equations for a One-Dimensional System

L. R. Dodd

The Faddeev equations for the one-dimensional system consisting of three identical particles interacting through δ-function potentials are shown to be exactly solvable. The scattering solutions in the form of half-off-shell rearrangement and elastic amplitudes are constructed explicitly and the ground state of the system is derived.

Journal of Mathematical Physics•Jan 1, 1970•50 citations

Exact solutions to the time-dependent Schrödinger equation

John R. Ray

New exact solutions to the time-dependent Schrödinger equation are presented and the equivalence of two methods of arriving at these solutions shown.Received 12 February 1982DOI:https://doi.org/10.1103/PhysRevA.26.729©1982 American Physical Society

Physical Review A•Aug 1, 1982•85 citations

Correlation functions for Hubbard-type models: The exact results for the Gutzwiller wave function in one dimension

Florian Gebhard, D. Vollhardt

We report the analytic, approximation-free evaluation of four different correlation functions for interacting fermions on a one-dimensional lattice in terms of the Gutzwiller wave function.Received 13 April 1987DOI:https://doi.org/10.1103/PhysRevLett.59.1472©1987 American Physical Society

Physical Review Letters•Sep 28, 1987•164 citations

Many-body Green's function of composed systems

G.G. Dussel, Roberto J. Liotta

Green's function techniques are used to express the solution of a many-body system in terms of the solutions of any two of its subsystems.Received 4 January 1984DOI:https://doi.org/10.1103/PhysRevC.30.729©1984 American Physical Society

Physical Review C•Aug 1, 1984•1 citation

A three-particle problem in one dimension

J. C. Martinez

The problem of three particles of identical mass interacting with each other via a delta-function potential is studied within a simple framework inspired by the 2-particle system. We discuss the S matrix and the possibility of bound states arising for both bosons and fermions.

American Journal of Physics•Feb 1, 1995•2 citations
The Faddeev-Yakubovsky equations for four identical spinless particles in one-dimensional space interacting via δ-function potentials are solved analytically for a bound state.Received 13 February 1995DOI:https://doi.org/10.1103/PhysRevC.52.509©1995 American Physical Society