Continuum Dissolution and the Relativistic Many-Body Problem: A Solvable Model
- 2 September 1985
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 55 (10) , 1033-1035
- https://doi.org/10.1103/physrevlett.55.1033
Abstract
Any attempt to describe bound states of three or more Dirac particles, or of two or more such particles in the presence of an external potential, must take into account the problem of continuum dissolution: A Hamiltonian which involves only the sum of free Dirac Hamiltonians for the particles plus local interactions will not have normalizable eigenfunctions because of the mixing of positive- and negative-energy states. A simple model is constructed to illustrate the validity of this "folk theorem," first noted by Brown and Ravenhall in 1951.This publication has 2 references indexed in Scilit:
- Foundations of the relativistic theory of many‐electron bound statesInternational Journal of Quantum Chemistry, 1984
- On the interaction of two electronsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1951