Parametrisations of elements of spinor and orthogonal groups using exterior exponents
Nikolay Marchuk
TL;DR
This paper introduces new parametrizations of spinor and orthogonal groups in four dimensions using Grassmann exterior algebra, which could enhance mathematical tools in physics, especially in quantum mechanics.
Contribution
It presents novel parametrizations of spinor and orthogonal groups utilizing exterior algebra, advancing the mathematical framework for physics applications.
Findings
New parametrizations of spinor groups
Enhanced mathematical tools for physics
Potential applications in Dirac equation
Abstract
We present new parametrizations of elements of spinor and orthogonal groups of dimension 4 using Grassmann exterior algebra. Theory of spinor groups is an important tool in theoretical and mathematical physics namely in the Dirac equation for an electron.
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