Invariant Cones and Uniqueness of the Ground State for Fermion Systems
- 1 August 1972
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 13 (8) , 1285-1290
- https://doi.org/10.1063/1.1666133
Abstract
A perturbation theory is developed for self‐adjoint operators whose resolvents leave a cone invariant. The Perron‐Frobenius theory may be applied to the perturbed operator to conclude that its lowest eigenvalue has multiplicity one. In quantum field theory this gives uniqueness of the vacuum for a class of fermion interactions different from that considered by Gross.Keywords
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