A quantum measurement model of reaction-transport systems

Quantum Measurement;Quantum Probability;Quantum Stochastic Processes;Transport Theory;Neutron Thermalization

Percel, Ian M.

关键词: Quantum Measurement;    Quantum Probability;    Quantum Stochastic Processes;    Transport Theory;    Neutron Thermalization;   

Others  :  https://www.ideals.illinois.edu/bitstream/handle/2142/100918/PERCEL-DISSERTATION-2018.pdf?sequence=1&isAllowed=y

美国|英语

来源: The Illinois Digital Environment for Access to Learning and Scholarship

【 摘 要 】

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.