Differential algebra of biquaternions. 4. Twistor and twistors fields

zbMATH Open1488.81017arXiv1406.5347MaRDI QIDQ3380043

L. A. Alekseeva

Publication date: 27 September 2021

Abstract: On base of differential biquaternions algebra and generalized functions theory the biquaternionic wave equation is considered under vector representation of its structural coefficient. Its generalized solutions are constructed, which describe nonstationary, time-harmonic and static twistors. Elementary harmohic twistors are determined, their biquaternions of energy-inpulse are calculated. By use of them polorized and unpolarized twistors field have been constructed.

Full work available at URL: https://arxiv.org/abs/1406.5347

zbMATH Keywords

generalized solutiontwistorbiquaternionbiwave equationvector coefficient

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of global differential geometry to the sciences (53C80) Quaternionic functional analysis (46S05)

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