Zobrazeno 1 - 10
of 21 877
pro vyhledávání: '"Clifford Algebra"'
Autor:
John Snygg
Clifford algebras have become an indispensable tool for physicists at the cutting edge of theoretical investigations. Applications in physics range from special relativity and the rotating top at one end of the spectrum, to general relativity and Dir
Autor:
Watanabe, Takayoshi
We deal with Malliavin calculus on the $L^2$ space of the $W^*$-algebra generated by fermion fields (the Clifford algebra). First, we verify the product formula for multiple integrals in It\^o-Clifford calculus, which is It\^o calculus on the Cliffor
Externí odkaz:
http://arxiv.org/abs/2409.00715
Autor:
Wilson, Robert A.
I show how the isomorphism between the Lie groups of types $B_2$ and $C_2$ leads to a faithful action of the Clifford algebra $\mathcal C\ell(3,2)$ on the phase space of 2-dimensional dynamics, and hence to a mapping from Dirac spinors modulo scalars
Externí odkaz:
http://arxiv.org/abs/2404.04278
Autor:
Lu, Wei
Publikováno v:
International Journal of Geometric Methods in Modern Physics, Vol. 21, No. 05, 2450089 (2024)
Is there more to Dirac's gamma matrices than meets the eye? It turns out that gamma zero can be factorized into a product of three operators. This revelation facilitates the expansion of Dirac's space-time algebra to Clifford algebra Cl(0,6). The res
Externí odkaz:
http://arxiv.org/abs/2401.05678
The traditional GNSS-aided inertial navigation system (INS) usually exploits the extended Kalman filter (EKF) for state estimation, and the initial attitude accuracy is key to the filtering performance. To spare the reliance on the initial attitude,
Externí odkaz:
http://arxiv.org/abs/2311.07049