AMOUR, Laurent; FAUPIN, Jérémy; GREBERT, Benoit; GUILLOT, Jean-Claude

Metadatos

Mostrar el registro completo del ítem

Licencia de uso del documento

AMOUR, Laurent
Laboratoire de Mathématiques de Reims [LMR]

FAUPIN, Jérémy
Institut de Mathématiques de Bordeaux [IMB]

GREBERT, Benoit
Laboratoire de Mathématiques Jean Leray [LMJL]

Idioma

Communication dans un congrès

Este ítem está publicado en

Spectral and Scattering Theory for Quantum Magnetic Systems, Spectral and Scattering Theory for Quantum Magnetic Systems, Spectral and Scattering Theory for Quantum Magnetic Systems, 2008-07. 2009p. 1-24

Resumen en inglés

We consider a non-relativistic electron interacting with a classical magnetic field pointing along the $x_3$-axis and with a quantized electromagnetic field. The system is translation invariant in the $x_3$-direction and we consider the reduced Hamiltonian $H(P_3)$ associated with the total momentum $P_3$ along the $x_3$-axis. For a fixed momentum $P_3$ sufficiently small, we prove that $H(P_3)$ has a ground state in the Fock representation if and only if $E'(P_3)=0$, where $P_3 \mapsto E'(P_3)$ is the derivative of the map $P_3 \mapsto E(P_3) = \inf \sigma (H(P_3))$. If $E'(P_3) \neq 0$, we obtain the existence of a ground state in a non-Fock representation. This result holds for sufficiently small values of the coupling constant.< Leer menos

Metadatos

Compartir este ítem

Licencia de uso del documento

On the Infrared Problem for the Dressed Non-Relativistic Electron in a Magnetic Field

Idioma

Este ítem está publicado en

Resumen en inglés

URI

Orígen

Centros de investigación