6533b7d9fe1ef96bd126d5a9
RESEARCH PRODUCT
The bound state in the spectrum of the Lee–Friedrichs Hamiltonian
Lucia RizzutoRoberto PassanteFranco Persicosubject
Physicssymbols.namesakeSpectral representationDiscretizationQuantum mechanicsBound statesymbolsGeneral Physics and AstronomyNegative energyHamiltonian (quantum mechanics)Eigenvalues and eigenvectorsdescription
Abstract The spectrum of the Lee–Friedrichs Hamiltonian, describing a two-level system embedded in a continuum, is considered. An appropriate discretization of the field modes is performed before taking the continuum limit. It is shown that the existence of an eigenstate with negative energy (bound state) is related to the nonanalyticity of the Friedrichs spectral representation. This negative energy state is a dressed state and its physical properties are studied in some significant cases.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2000-09-01 | Physics Letters A |