E_1^3 3-Boyutlu Lorentz Uzayda Spinor Q-Denklemleri

Year 2022, Volume: 11 Issue: 1, 294 - 300, 24.03.2022

Doğan Ünal

https://doi.org/10.17798/bitlisfen.1022461

Abstract

Bu çalışmada, E_1^3 3-boyutlu Lorentz uzayda q-çatıya göre uzay eğrilerinin hiperbolik spinor temsilleri incelenmiştir. E_1^3’te eğrilerin spacelike ve timelike teğet vektörlü olma durumlarına göre q-çatı için eğrilerin spinor formülasyonları hesaplanmıştır. Ayrıca 3- boyutlu Lorentz uzayda q-çatı ve Frenet çatıya ait spinor denklemleri arasındaki ilişkiler de ifade edilmiştir. Sonuçlar bazı teoremlerle desteklenmiştir.

Keywords

Clifford Cebiri, Hiperbolik Spinorlar, Q-Çatı, Lorentz Uzayı

Spinor Q-Equations in Lorentzian 3-space E_1^3

Abstract

In this paper, hyperbolic spinor representations of space curves are studied according to the q-frame in E_1^3. The spinor formulations of curves are calculated for the q-frame according to the spacelike and timelike tangent vector cases of the curves in E_1^3. Moreover, the relationships of spinor equations between q-frame and Frenet frame in Lorentz space are expressed. The results are supported with some theorems.

Keywords

Clifford Algebras, Hyperbolic Spinors, Q-Frame, Lorentz Space

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