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Title:A quantum measurement model of reaction-transport systems
Author(s):Percel, Ian M.
Director of Research:Axford, Roy A.
Doctoral Committee Chair(s):Axford, Roy A.
Doctoral Committee Member(s):Junge, Marius; Stubbins, James; Zhang, Yang
Department / Program:Nuclear, Plasma, & Rad Engr
Discipline:Nuclear Engineering
Degree Granting Institution:University of Illinois at Urbana-Champaign
Subject(s):Quantum Measurement
Quantum Probability
Quantum Stochastic Processes
Transport Theory
Neutron Thermalization
Abstract: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.
Issue Date:2018-04-02
Rights Information:Copyright 2018 Ian Percel
Date Available in IDEALS:2018-09-04
Date Deposited:2018-05

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