Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8896646 | Journal of Functional Analysis | 2018 | 46 Pages |
Abstract
We consider a Hamilton operator which describes a finite dimensional quantum mechanical system with degenerate eigenvalues coupled to a field of relativistic bosons. We show that the ground state projection and the ground state energy are analytic functions of the coupling constant in a cone with apex at the origin, provided a mild infrared assumption holds. To show the result operator theoretic renormalization is used and extended to degenerate situations.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
David Hasler, Markus Lange,