The complete exact solution to the translation-invariant N-body harmonic oscillator problem
- 1 December 1979
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 20 (12) , 2481-2483
- https://doi.org/10.1063/1.524038
Abstract
It is shown that Schrödinger’s nonrelativistic equation for a translation‐invariant system of N particles with arbitrary masses interacting by harmonic pair potentials with arbitrary coupling constants is exactly soluble. An explicit matrix KV is given whose eigenvalues and eigenvectors determine all the exact energies and corresponding eigenfunctions of the N‐particle problem. The result is extended to include systems composed of an arbitrary number of groups of identical particles.Keywords
This publication has 8 references indexed in Scilit:
- Lower energy bounds for translation-invariant atomlike systemsJournal of Mathematical Physics, 1978
- A translationally invariant RPA-calculation for16O on the basis of an algebraic solution of the many-body oscillator problemThe European Physical Journal A, 1978
- Exact solutions of Schrodinger's equation for translation-invariant harmonic matterJournal of Physics A: General Physics, 1978
- Some exact solutions to the translation-invariant N-body problemJournal of Physics A: General Physics, 1978
- Symmetry breaking in baryonsPhysics Letters B, 1978
- Exact solutions of Schrödinger's equation for translation-invariant harmonic atomsPhysics Letters A, 1978
- The solution of the quantum mechanical many-body problem bound by harmonic forces as a translationally invariant basis for nuclear structure calculationsZeitschrift für Physik A Atoms and Nuclei, 1977
- Current Matrix Elements from a Relativistic Quark ModelPhysical Review D, 1971