{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/100918"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/100918","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"A quantum measurement model of reaction-transport systems","abstract":"Made available in DSpace on 2018-09-04T20:26:47Z (GMT). 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No. of bitstreams: 6 PERCEL-DISSERTATION-2018.pdf: 1004552 bytes, checksum: bffccde00ce59b48fcba202beda50fbc (MD5) Dissertation final draft 03-24-18.tex: 580978 bytes, checksum: b4b500d8ffa47e05d4bcc590c0360c62 (MD5) TechnicalReferences11-20-17.bib: 162919 bytes, checksum: 7128e1a4a23ace8aa1de0f4d761e461c (MD5) uiucthesis2018.cls: 17259 bytes, checksum: c442ca5c97b9b43ebe2831b32f53dbb7 (MD5) LICENSE.txt: 4207 bytes, checksum: e18e0242b9b00b6a2ff0c22dc0716513 (MD5) PROQUEST_LICENSE.txt: 4553 bytes, checksum: 65835e79655e81bbce515210593d979f (MD5) Previous issue date: 2018-04-02","This research develops a mesoscopic quantum measurement theoretic foundation for neutron transport theory in the presence of delayed fission and compound scattering processes. Specifically, we construct a quantization of the Pal-Bell equation of stochastic neutron transport theory from a quantum stochastic calculus for particle detection in quantum fields. This enables us to formulate a quantum theory of mesoscopic neutron transport physics that explicitly incorporates both transport mechanisms and resonance scattering into a single quantum stochastic process. The quantum stochastic process representation is shown to have a unique, trace-norm convergent perturbation expansion in the number of observed reaction events. This expansion result, and the proofs that lead to it, help to establish a variety of approximation methods that are applied to nuclear data assimilation and neutron thermalization problems.","Submission original under an indefinite embargo labeled 'Open Access'. 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This enables us to formulate a quantum theory of mesoscopic neutron transport physics that explicitly incorporates both transport mechanisms and resonance scattering into a single quantum stochastic process. The quantum stochastic process representation is shown to have a unique, trace-norm convergent perturbation expansion in the number of observed reaction events. This expansion result, and the proofs that lead to it, help to establish a variety of approximation methods that are applied to nuclear data assimilation and neutron thermalization problems.","Submission original under an indefinite embargo labeled 'Open Access'. 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