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

Exact solution of the few-particle Schrodinger-equation

E. N. Maslen, Paul C Abbott, J E Gottschalk, Kevin McIsaac

Published Sep 1, 1986• 0 citations
OpenAlex

Related papers

The exact solution of theN-particle schrödinger equation with two-particle harmonic interactions

H. Almström

Lettere al nuovo cimento della societa italiana di fisica/Lettere al nuovo cimento•Jun 1, 1969•4 citations

Exact Solution of the Schrodinger and Faddeev Equations for Few Body Systems

Nir Barnea

•Jan 1, 1997•5 citations

Exact solution of the Schrödinger equation for a particle in a regular N-simplex

Sudhir R. Jain

Physics Letters A•Nov 21, 2007•9 citations

On exact analytical solutions for the few-particle Schrödinger equation. I. A perturbation study

Cheryl L. Davis, E. N. Maslen, J.N. Varghese

Abstract As the first stage in a project aimed at finding exact bound-state solutions for the few-particle Schrödinger equation, some restricted two-and three- body systems are treated by Rayleigh–Schrödinger perturbation theory. Formal solutions for the perturbation equations are obtained by using standard techniques for solving differential equations. Particular attention is given to justifying the various boundary conditions, since the same conditions apply to formal solutions of the eigenvalue equations. It is shown that boundary conditions designed to preserve the Hermitian character of the Hamiltonian are sufficient to determine all parameters in the formal solutions. The procedure is demonstrated by application to a hydrogen atom perturbed by stationary point charges. Results are given for the ground and some excited states.

Proceedings of the Royal Society of London A Mathematical and Physical Sciences•Nov 8, 1982•6 citations

Solution of the Schrödinger Equation for Many-Particle Systems

A. P. Machil'skii

SPhD•May 1, 1969•0 citations

On exact analytical solutions for the few-particle Schrodinger

Cheryl L. Davis, E. N. Maslen, And J. N. Varghese

As the first stage in a project aimed at finding exact bound-state solutions for the few-particle Schrodinger equation, some restricted two- and threebody systems are treated by Rayleigh-Schrddinger perturbation theory. Formal solutions for the perturbation equations are obtained by using standard techniques for solving differential equations. Particular attention is given to justifying the various boundary conditions, since the same conditions apply to formal solutions of the eigenvalue equations. It is shown that boundary conditions designed to preserve the Hermitian character of the Hamiltonian are sufficient to determine all parameters in the formal solutions. The procedure is demonstrated by application to a hydrogen atom perturbed by stationary point charges. Results are given for the ground and some excited states.

•Jan 1, 1982•0 citations
Abstract As the first stage in a project aimed at finding exact bound-state solutions for the few-particle Schrödinger equation, some restricted two-and three- body systems are treated by Rayleigh–Schrödinger perturbation theory. Formal solutions for the perturbation equations are obtained by using standard techniques for solving differential equations. Particular attention is given to justifying the various boundary conditions, since the same conditions apply to formal solutions of the eigenvalue equations. It is shown that boundary conditions designed to preserve the Hermitian character of the Hamiltonian are sufficient to determine all parameters in the formal solutions. The procedure is demonstrated by application to a hydrogen atom perturbed by stationary point charges. Results are given for the ground and some excited states.
As the first stage in a project aimed at finding exact bound-state solutions for the few-particle Schrodinger equation, some restricted two- and threebody systems are treated by Rayleigh-Schrddinger perturbation theory. Formal solutions for the perturbation equations are obtained by using standard techniques for solving differential equations. Particular attention is given to justifying the various boundary conditions, since the same conditions apply to formal solutions of the eigenvalue equations. It is shown that boundary conditions designed to preserve the Hermitian character of the Hamiltonian are sufficient to determine all parameters in the formal solutions. The procedure is demonstrated by application to a hydrogen atom perturbed by stationary point charges. Results are given for the ground and some excited states.