Lagrangian in quantum mechanics is a connection one-form

Simple item page
dc.creatorSharan, Pankaj
dc.creatorChingangbam, Pravabati
dc.date2003-01-24
dc.date.accessioned2026-07-07T06:05:57Z
dc.date.available2026-07-07T06:05:57Z
dc.descriptionWe recast Dirac's Lagrangian in quantum mechanics in the language of vector bundles and show that the action is an operator-valued connection one-form. Phases associated with change of frames of reference are seen to be total differentials in the transformation of the action. The relativistic case is discussed and we show that it gives the correct phase in the non-relativistic limit for uniform acceleration.
dc.description7 pages, revtex 4, 1 figure
dc.identifierhttps://arxiv.org/abs/quant-ph/0301133
dc.identifierhttp://arxiv.org/abs/quant-ph/0301133
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/90817
dc.subjectQuantum Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleLagrangian in quantum mechanics is a connection one-form
dc.typetext

Files

Collections

arXiv