A quantum measurement model of reaction-transport systems
Percel, Ian M.
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https://hdl.handle.net/2142/100918
Description
Title
A quantum measurement model of reaction-transport systems
Author(s)
Percel, Ian M.
Issue Date
2018-04-02
Director of Research (if dissertation) or Advisor (if thesis)
Axford, Roy A.
Doctoral Committee Chair(s)
Axford, Roy A.
Committee Member(s)
Junge, Marius
Stubbins, James
Zhang, Yang
Department of Study
Nuclear, Plasma, & Rad Engr
Discipline
Nuclear Engineering
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(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.
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