Theme 01
Quantum mechanics and electromagnetism in noninertial frames
Analyzing the spectra of fields observed from noninertial reference frames.
Dr. Bryce M. Barclay
Research Scientist · Department of Mathematics · Arizona State University
Applied mathematician specializing in the analysis of quantum systems and electromagnetic waves and the development of signal processing and machine learning algorithms. Author of publications on wave propagation in turbulent media, electromagnetic sensing in non-inertial reference frames, relativistic and quantum field models, and physics-informed machine learning, with several years of high-performance computing experience including as a scholar at Lawrence Livermore National Laboratory. Current interests: quantum information science, scientific and physics-informed machine learning, computational PDEs, and numerical simulation of quantum and relativistic systems.
Dr. Barclay completed his PhD in applied mathematics at Arizona State University in 2023 under the co-advisors Dr. Alex Mahalov and Dr. Eric Kostelich.
Research
Theme 02
Stochastic modeling of electromagnetic phenomena
Utilizing methods from stochastic calculus to model electromagnetic wave propagation through turbulence.
Selected Publications
-
Dynamic Doppler Effects on Dirac Spinor Fields
-
The dynamic Doppler spectrum induced by nonlinear sensor motion: Relativistic kinematics and 4D Frenet-Serret spacetime geometry
-
Spectral distortions of signals induced by nonlinear sensor motion: Acceleration, jolt, and relativistic effects
-
Doppler effects of nonlinear sensor motion in 3D space: Curvature, torsion, jolts, and directional wave propagation.
See curriculum vitae for the complete list.
Teaching
- MAT 266 — Calculus II Fall 2022
- MAT 265 — Calculus I Spring 2022
CV
A full curriculum vitae is available as a PDF.
Download CV (PDF)