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Haag, R. Nance, Jon Roland 2011-05-31T15:21:22Z 2011-05-31T15:21:22Z 10000-01-01 1966 "The problem of providing a physical interpretation of a relativistic quantum theory is discussed. It is shown that a single operator corresponding to a localized measurement on the states of the-theory is sufficient for a significant part (perhaps all) of this interpretation. The application of this method of interpretation to the relativistic quantum theory defined on the representation space of an irreducible representation of a higher symmetry group containing the Poincare group is discussed. It is concluded that the higher symmetry is, in fact, of little use for this interpretation. This .leads in a natural way to the problem of finding some of these ""quasilocal"" operators on the space of states of a given relativistic quantum theory. 1'/ This problem is specialized to the problem of constructing a model relativistic quantum theory of a certain type. The procedure used is to attempt to construct a representation of the generators of the Poincare group on the Fock space X of real scalarbosons in such a way that quasilocal observables are easily expressible in terms of the canonical creation-destruction operators. The structure of the model permits the construction of the generators to be approached by successively satisfying their structure relations in each of the spaces ~(n) specified by the eigenvalues of the free field particle number operator. These structure relations are satisfied in~(l) and~(2). The mathematical details of the problem increase rapidly with n, and no explicit solution is obtained for n > 2. Arguments are given which make it plausible that the structure relations in~(n), with n> 2, may be satisfied by a large class of generators. Several trial solutions in the space ~(3) are described, and the difficulties associated with them are discussed." Submitted by Carolyn Mead (cmead2@illinois.edu) on 2011-05-31T15:21:22Z No. of bitstreams: 1 1966_nance.pdf: 2230808 bytes, checksum: 9b2bd845dc8e12b3d7bbb294e3840fbf (MD5) Made available in DSpace on 2011-05-31T15:21:22Z (GMT). No. of bitstreams: 1 1966_nance.pdf: 2230808 bytes, checksum: 9b2bd845dc8e12b3d7bbb294e3840fbf (MD5) Previous issue date: 1966 Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Carolyn Mead (cmead2@illinois.edu) on 2011-05-31T15:21:22Z Item is restricted indefinitely. Restriction data tranferred 2014-07-01T11:11:24-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: Thesis Thesis U of I Only 6128057 http://hdl.handle.net/2142/25062 en 1966 Jon Roland Nance macroscopically local relativistic quantum theory relativistic quantum theory field theory scattering theory quasilocal observables scalar boson model On the construction of macroscopically local relativistic quantum theories Dissertation / Thesis text Physics Physics University of Illinois at Urbana-Champaign Dissertation Ph.D.