Spinor Representations of Positional Adapted Frame in the Euclidean 3-Space
Küçük Resim Yok
Tarih
2023
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Int Electronic Journal Geometry
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The main goal of this paper is to study together the spinors, which have a major place in several disciplines from mathematics to physics, and Positional Adapted Frame (PAF) which is a new frame that attracts the attention of many researchers. In accordance with this purpose, we introduce the spinor representations for the trajectories endowed with PAF in the Euclidean 3-space E3, and construct the spinor equations of PAF vectors. Then, we find the relations between spinor representations of PAF and Serret-Frenet frame. Also we give some results and present some geometric interpretations with respect to this relationship. Moreover, we present an illustrative numerical example in order to support the given theorems and results.
Açıklama
Anahtar Kelimeler
Kinematics of a particle, positional adapted frame, spinors, Hyperbolic Spinors, Curves, Construction
Kaynak
International Electronic Journal of Geometry
WoS Q Değeri
Q4
Scopus Q Değeri
Q3
Cilt
16
Sayı
1
