STRUCTURE OF THE EIGENVALUE SPECTRUM IN THE ONE-EXCITATION SUBSPACE OF THE LEE-FRIEDRICHS HAMILTONIAN

Citation
R. Passante et F. Persico, STRUCTURE OF THE EIGENVALUE SPECTRUM IN THE ONE-EXCITATION SUBSPACE OF THE LEE-FRIEDRICHS HAMILTONIAN, Physics letters. A, 200(2), 1995, pp. 87-90
Citations number
19
Categorie Soggetti
Physics
Journal title
ISSN journal
03759601
Volume
200
Issue
2
Year of publication
1995
Pages
87 - 90
Database
ISI
SICI code
0375-9601(1995)200:2<87:SOTESI>2.0.ZU;2-I
Abstract
The distribution of eigenvalues of the Lee-Friedrichs Hamiltonian in t he continuum limit is attained starting from a finite set of N unpertu rbed field modes. The lowest eigenvalue E(G) is followed as N increase s. As N --> infinity E(G) behaves pathologically while the rest of the spectrum tends to the unperturbed continuum. This behaviour may be at the origin of well-known peculiar features of the spectrum, relevant for quantum optics.