Semiclassical quantization of electrons in magnetic fields: the generalized Peierls substitution

dc.creatorGosselin, Pierre
dc.creatorBoumrar, Hocine
dc.creatorMohrbach, Herve
dc.date2008-05-16
dc.date2008-08-05
dc.date.accessioned2026-07-07T12:43:10Z
dc.date.available2026-07-07T12:43:10Z
dc.descriptionA generalized Peierls substitution which takes into account a Berry phase term must be considered for the semiclassical treatment of electrons in a magnetic field. This substitution turns out to be an essential element for the correct determination of the semiclassical equations of motion as well as for the semiclassical Bohr-Sommerfeld quantization condition for energy levels. A general expression for the cross-sectional area is derived and used as an illustration for the calculation of the energy levels of Bloch and Dirac electrons.
dc.identifierhttps://arxiv.org/abs/0805.2455
dc.identifierhttp://arxiv.org/abs/0805.2455
dc.identifierEurophysics Letters (EPL) 84 (2008) 50002
dc.identifierdoi:10.1209/0295-5075/84/50002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/220330
dc.subjectMesoscale and Nanoscale Physics
dc.subjectHigh Energy Physics - Theory
dc.titleSemiclassical quantization of electrons in magnetic fields: the generalized Peierls substitution
dc.typetext

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