Three-body problem in a multiband Hubbard model

A Trilinear Three-Body Problem

In this paper we present a simplified model of a three-body problem. Place three parallel lines in the plane. Place one mass on each of the lines and let their positions evolve according to Newton’s inverse square law of gravitation. We prove the KAM theory applies to our model and simulations are presented. We argue that this model provides an ideal, accessible entry point into the beautiful m...

Three - Body Problem

Multi-band Bose-hubbard Models and Effective Three-body Interactions

Title of dissertation: MULTI-BAND BOSE-HUBBARD MODELS AND EFFECTIVE THREE-BODY INTERACTIONS Saurabh Paul, Doctor of Philosophy, 2016 Dissertation directed by: Professor Eite Tiesinga Joint Quantum Institute Department of Physics University of Maryland, College Park Experiments with ultracold atoms in optical lattice have become a versatile testing ground to study diverse quantum many-body Hamil...

Solution of a Relativistic Three Body Problem

Starting from a relativistic s-wave scattering length model for the two particle input we construct an unambiguous, unitary solution of the relativistic three body problem given only the masses ma,mb,mc and the masses of the two body bound states μbc, μca, μab. Submitted to Few Body Systems: Tjon Festschrift Issue; revised ms. resubmitted October, 1997 Work supported by Department of Energy con...

A Simple Charged Three-Body Problem

Dedicated to Paul Blanchard on the occasion of his sixtieth birthday. Abstract: The dynamics of a simple model of three charged bodies interacting under an inverse square electrostatic force is presented. The model may be viewed as an alternative to the pendulum, the standard model of a periodically forced and damped nonlinear oscillator.