RT Journal Article
T1 Nonrelativistic limit in the 2+1 Dirac oscillator: a Ramsey-interferometry effect
A1 Bermúdez Carballo, Alejandro
A1 Martín-Delgado Alcántara, Miguel Ángel
A1 Luis Aina, Alfredo
AB We study the nonrelativistic limit of a paradigmatic model in relativistic quantum mechanics, the two-dimensional Dirac oscillator. Remarkably, we find a different kind of Zitterbewegung which persists in this nonrelativistic regime, and leads to an observable deformation of the particle orbit. This effect can be interpreted in terms of a Ramsey-interferometric phenomenon, allowing an insightful connection between relativistic quantum mechanics and quantum optics. Furthermore, subsequent corrections to the nonrelativistic limit, which account for the usual spin-orbit Zitterbewegung, can be neatly understood in terms of a Mach-Zehnder interferometer.
PB American Physical Society
SN 1050-2947
YR 2008
FD 2008-03-18
LK https://hdl.handle.net/20.500.14352/51487
UL https://hdl.handle.net/20.500.14352/51487
LA eng
NO ©2008 The American Physical Society. We acknowledge financial support from the Spanish MEC project No. FIS2006-04885, the project No. CAM-UCM/910758 (A.B. and M.A.M.D.) and the UCM project No. PR1-A/07-15378 (A.L.). Additionally, we acknowledge support from a FPU MEC grant (A.B.), and the ESF Science Programme INSTANS 2005-2010 (M.A.M.D.).
NO Ministerio de Educación y Ciencia (MEC), España
NO Universidad Complutense de Madrid (UCM)
NO Comunidad de Madrid (CAM)
NO European Science Foundation (ESF)
DS Docta Complutense
RD 20 mar 2026