Bargmann Invariants and Geometric Phases - a Generalised Connection

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dc.creatorRabei, Eqab M.
dc.creatorArvind
dc.creatorSimon, R.
dc.creatorMukunda, N.
dc.date1999-07-26
dc.date.accessioned2026-07-07T12:17:15Z
dc.date.available2026-07-07T12:17:15Z
dc.descriptionWe develop the widest possible generalisation of the well-known connection between quantum mechanical Bargmann invariants and geometric phases. The key notion is that of null phase curves in quantum mechanical ray and Hilbert spaces. Examples of such curves are developed. Our generalisation is shown to be essential to properly understand geometric phase results in the cases of coherent states and of Gaussian states. Differential geometric aspects of null phase curves are also briefly explored.
dc.descriptionAccepted for publication in Physical Review A
dc.identifierhttps://arxiv.org/abs/quant-ph/9907080
dc.identifierhttp://arxiv.org/abs/quant-ph/9907080
dc.identifierPhys.Rev.A60:3397,1999
dc.identifierdoi:10.1103/PhysRevA.60.3397
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/212057
dc.subjectQuantum Physics
dc.titleBargmann Invariants and Geometric Phases - a Generalised Connection
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