Zobrazeno 1 - 10
of 175
pro vyhledávání: '"Furui, Sadataka"'
Autor:
Furui, Sadataka, Santos, Serge Dos
Localization and classification of scattered nonlinear ultrasonic signatures in 2 dimensional complex damaged media using Time Reversal based Nonlinear Elastic Wave Spectroscopy (TR-NEWS) approach is extended to 3 dimensional complex damaged media. I
Externí odkaz:
http://arxiv.org/abs/2411.05018
Autor:
Furui, Sadataka, Santos, Serge Dos
We propose a method to obtain the optimal weight function of 9 paths in (3+1)D space-time whose length is less than or equal to $2\times (6+2)$ lattice units. The factor 2 comes from inclusion of opposite direction path or time reversed paths. There
Externí odkaz:
http://arxiv.org/abs/2406.14569
Autor:
Furui, Sadataka
We study application of the Clifford algebra and the Grassmann algebra to image recognitions in $(3+1)D$ using quaternions. Following S.L.Adler, we construct a quaternion-valued wave function model with fermions and bosons of equal degrees of freedom
Externí odkaz:
http://arxiv.org/abs/2310.10680
Autor:
Furui, Sadataka, Santos, Serge Dos
Monte Carlo simulation of solitonic phonon propagation on a 2D plane in Weyl fermion-sea is analyzed. We assume materials are filled with Weyl spinors located on $256\times 256$ 2D lattice points, which are expressed by quaternions ${\bf H}$. The top
Externí odkaz:
http://arxiv.org/abs/2302.07871
Autor:
Furui, Sadataka, Santos, Serge Dos
We propose application of Machine Learning (ML) and Neural Network (NN) technique for the analysis of ultrasonic Time Reversal based Nonlinear Elastic Wave Spectroscopy (TR-NEWS). In order to acquire topological features, we adopt the $(2+1)D$ lattic
Externí odkaz:
http://arxiv.org/abs/2209.11168
Autor:
Furui, Sadataka, Santos, Serge Dos
We considered symplectic quaternions sitting on a $(2+1)D$ lattice in momentum space which interact with nearest neighbor interactions. The action is expressed by fixed point actions given by the superposition of blocks whose length of the contour is
Externí odkaz:
http://arxiv.org/abs/2112.13648
Autor:
Furui, Sadataka
We consider symplectic quaternions instead of unitary spinors sitting on a lattice, and calculate the fixed point Wilson action on a finite $2D$ plane expanded by $u_1 a e_1+ u_2 a e_2$ and on two $2D$ planes separated by $a e_1\wedge e_2$. Only the
Externí odkaz:
http://arxiv.org/abs/2107.07880
Autor:
Furui, Sadataka
The outline of lattice simulations of $(2+1)D$ soliton-propagations in the background of Weyl spinors is presented. Clifford algebra is applied on Luescher's domain decomposition method. The Clifford algebra shows that there are loop parts and interp
Externí odkaz:
http://arxiv.org/abs/2105.06265
Autor:
Furui, Sadataka
Publikováno v:
Mathematical Research Developments "UNDERSTANDING QUATERNIONS", Ed. by Peng Du et al, nova science publishers (2020)
Quaternions were appeared through Lagrangian formulation of mechanics in Symplectic vector space. Its general form was obtained from the Clifford algebra, and Frobenius' theorem, which says that "the only finite-dimensional real division algebra are
Externí odkaz:
http://arxiv.org/abs/2106.01891
Autor:
Furui, Sadataka
Publikováno v:
Chapter 6 of "Horizons in World Physics", Volume 302 (2020)
Gluons are strong interaction gauge fields which interact between quarks, i.e. constituents of baryons and mesons. Interaction of matters is phenomenologically described by gauge theory of strong, electromagnetic, weak and gravitational interactions.
Externí odkaz:
http://arxiv.org/abs/2106.01301