Local states of free bose fields

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dc.creatorDe Bievre, S.
dc.date2005-11-10
dc.date.accessioned2026-07-07T11:07:19Z
dc.date.available2026-07-07T11:07:19Z
dc.descriptionThese notes contain an extended version of lectures given at the ``Summer School on Large Coulomb Systems'' in Nordfjordeid, Norway, in august 2003. They furnish a short introduction to the theory of quantum harmonic systems, or free bose fields. The main issue addressed is the one of local states. I will adopt the definition of Knight of ``strictly local excitation of the vacuum'' and will then state and prove a generalization of Knight's Theorem which asserts that finite particle states cannot be perfectly localized. It will furthermore be explained how Knight's a priori counterintuitive result can be readily understood if one remembers the analogy between finite and infinite dimensional harmonic systems alluded to above. I will also discuss the link between the above result and the so-called Newton-Wigner position operator thereby illuminating, I believe, the difficulties associated with the latter. I will in particular argue that those difficulties do not find their origin in special relativity or in any form of causality violation, as is usually claimed.
dc.identifierhttps://arxiv.org/abs/math-ph/0511037
dc.identifierhttp://arxiv.org/abs/math-ph/0511037
dc.identifierLect.NotesPhys.695:15-61,2006
dc.identifierdoi:10.1007/3-540-32579-4_2
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/189806
dc.subjectMathematical Physics
dc.subject81P05, 81T10
dc.titleLocal states of free bose fields
dc.typetext

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