Absence of discrete spectrum in highly negative ions
Abstract
LetHN be the Hamiltonian for the Coulomb system consisting ofN particles of like charge in the field of a fixed point chargeZ. We show that if the particles are bosons, thenHN has no discrete spectrum whenN≧N0=cZ2 for some constantc. If the particles are fermions, thenHN is bounded below uniformly inN. These results can be extended to molecules and to other power law potentials.
- Publication:
-
Communications in Mathematical Physics
- Pub Date:
- January 1982
- DOI:
- 10.1007/BF01961235
- Bibcode:
- 1982CMaPh..82..457R
- Keywords:
-
- Neural Network;
- Statistical Physic;
- Complex System;
- Nonlinear Dynamics;
- Quantum Computing