The dressed nonrelativistic electron in a magnetic field

Simple item page
dc.creatorAmour, L.
dc.creatorGrebert, B.
dc.creatorGuillot, J. -C.
dc.date2004-12-20
dc.date2006-03-27
dc.date.accessioned2026-07-07T06:38:34Z
dc.date.available2026-07-07T06:38:34Z
dc.descriptionWe consider a nonrelativistic electron interacting with a classical magnetic field pointing along the $x_{3}$-axis and with a quantized electromagnetic field. When the interaction between the electron and photons is turned off, the electronic system is assumed to have a ground state of finite multiplicity. Because of the translation invariance along the $x_{3}$-axis, we consider the reduced Hamiltonian associated with the total momentum along the $x_{3}$-axis and, after introducing an ultraviolet cutoff and an infrared regularization, we prove that the reduced Hamiltonian has a ground state if the coupling constant and the total momentum along the $x_{3}$-axis are sufficiently small. Finally we determine the absolutely continuous spectrum of the reduced Hamiltonian.
dc.descriptiontypos corrections
dc.identifierhttps://arxiv.org/abs/math-ph/0412069
dc.identifierhttp://arxiv.org/abs/math-ph/0412069
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/100780
dc.subjectMathematical Physics
dc.subject81V05
dc.titleThe dressed nonrelativistic electron in a magnetic field
dc.typetext

Files

Collections

arXiv