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

European Journal of Physics

Path integral solution of a three-dimensional three-body problem

S. Atağ, Ö. Çakır

Published Mar 1, 1991• 2 citations
Publisher

Abstract

The exact path integral solution of the three-particle system interacting pairwise by harmonic potential and an inverse square potential is presented in three dimensions for some special cases.
DOI
10.1088/0143-0807/12/2/003

Related papers

Solution of a Particle's Motion in a Three-Dimensional Infinite Square Potential Well Using Path Integral

Wei Ji-jue

A path integral method to calculate the propagator for a particle moving in a three-dimensional infinite square well is presented and then its wave function and energy eigenvalue are derived.

Journal of Southwest University•Jan 1, 2009•0 citations

Path-integral solution of a particle's motion in a two-dimensional infinite square potential well

Yuan Tong-quan

The path integral technique is used to calculate the propagator of a particle moving in a two-dimensional infinite square well.Its wave function and energy eigenvalue are obtained.

College Physics•Jan 1, 2009•0 citations

Solution of a Three-Body Scattering Problem in One Dimension

Carlo Marchioro

The scattering problem of three equal particles interacting via repulsive inverse-cube forces is solved in one dimension both in the classical and the quantal cases. The quantal S matrix is similar to that produced by repulsive δ-function interaction of infinite strength.

Journal of Mathematical Physics•Jul 1, 1970•48 citations

Some exact solutions of the three-identical-particle problem with S-wave inverse square potentials

Vasily Veniaminovitch Pupyshev

Physics Letters A•Sep 1, 1989•9 citations

Exact solution of a one-dimensional three-body scattering problem with two-body and/or three-body inverse-square potentials

Francesco Calogero, Carlo Marchioro

The exact solution is presented of the scattering problem of three equal particles interacting in one-dimension via two- and/or three-body inverse-square potentials. Both the classical and the quantal problems are treated. It is shown that the outcome of this scattering problem is an extremely simple relation between initial and final momenta, the latter being univocally determined by the former even in the quantal case. The solvability of the problem, and the simple results just mentioned, are peculiar to the equal particle case.

Journal of Mathematical Physics•Sep 1, 1974•101 citations

Path integration of a three body problem

Dinkar C. Khandekar, S. V. Lawande

Path integration for a one dimensional three body problem is discussed. This involves essentially the path integration of a Lagrangian in plane polar coordinates with a potential energy term depending on both the radial and angular coordinates.

Journal of physics. A, Proceedings of the Physical Society. General•Jul 1, 1972•3 citations
The exact solution is presented of the scattering problem of three equal particles interacting in one-dimension via two- and/or three-body inverse-square potentials. Both the classical and the quantal problems are treated. It is shown that the outcome of this scattering problem is an extremely simple relation between initial and final momenta, the latter being univocally determined by the former even in the quantal case. The solvability of the problem, and the simple results just mentioned, are peculiar to the equal particle case.