Bulletin of the American Physical Society
APS March Meeting 2024
Monday–Friday, March 4–8, 2024; Minneapolis & Virtual
Session EE04: V: Machine Learning of Molecules and Materials
11:30 AM–12:54 PM,
Tuesday, March 5, 2024
Room: Virtual Room 04
Sponsoring
Unit:
DCOMP
Chair: Michele Pavanello, Rutgers University - Newark; Valeria Rios Vargas, Rutgers University
Abstract: EE04.00007 : Application of Clifford algebra and quaternion representations to (3+1)D non-destructive testing*
12:42 PM–12:54 PM
Presenter:
Sadataka Furui
(Teikyo University)
Authors:
Sadataka Furui
(Teikyo University)
Serge Dos Santos
(INSA val de Loire)
Following S.L.Adler, we construct a quaternion-valued wave function model with fermions and bosons of equal degrees of freedom, similar to Cartan's supersymmetric model. The Clifford algebra ${mathcal A}_{3,1}$ is compared with ${mathcal A}_{2,1}$ and the model applied to the $(2+1)D$ non-destructive testing is extended.
We adopt the Riesz Wavelet transform for image recognition of non-destructive testing.
Comparison with the quaternion Fourier transfer of Hitzer and the tensor renormalization group approach to classical lattice models is also discussed.
*Nihon Sangyo Kagaku Kenkyujo grant in aid.
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