Nonnegativity of the Yukawa Hamiltonian
- 1 November 1972
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 13 (11) , 1825-1827
- https://doi.org/10.1063/1.1665915
Abstract
In a recent paper [J. Math. Phys. 8, 423 (1967)], Dyson and Lenard gave a lower bound of the N‐particle Hamiltonian, Coulomb interaction, which was quadratic in N. An essential step in their proof is the fact that the one‐particle Hamiltonian with Yukawa potential −r−1e−μr is nonnegative if μ is not less than some value. The aim of this paper is to improve this positivity result and thereby improve the lower bound of Dyson and Lenard.Keywords
This publication has 1 reference indexed in Scilit:
- Stability of Matter. IJournal of Mathematical Physics, 1967