Sökning: "clifford algebra"

Visar resultat 1 - 5 av 6 uppsatser innehållade orden clifford algebra.

  1. 1. On Geometric Number

    Kandidat-uppsats, Uppsala universitet/Analys och partiella differentialekvationer

    Författare :Petter Gunnarsson; [2023]
    Nyckelord :clifford algebra; hypercomplex number; octonion;

    Sammanfattning : This is an overview of geometric algebras in dimensions 0-4 from the perspective of the concept of number itself. It is developed from a historic viewpoint and investigates and develops a pedagogic approach emphasizing the geometric aspects of the subject. LÄS MER

  3. 2. Clifford Algebra - A Unified Language for Geometric Operations

    Kandidat-uppsats, KTH/Fysik

    Författare :Leo Gordin; Henrik Taro Hansson; [2022]
    Nyckelord :clifford algebra; geometric algebra; algebra; tensors;

    Sammanfattning : In this paper the Clifford Algebra is introduced and proposed as analternative to Gibbs' vector algebra as a unifying language for geometricoperations on vectors. Firstly, the algebra is constructed using a quotientof the tensor algebra and then its most important properties are proved,including how it enables division between vectors and how it is connected tothe exterior algebra. LÄS MER

  4. 3. An Introduction to Orthogonal Geometry

    Kandidat-uppsats, Umeå universitet/Institutionen för matematik och matematisk statistik

    Författare :Emil Eriksson; [2021]
    Nyckelord :;

    Sammanfattning : In this thesis, we use algebraic methods to study geometry. We give an introduction to orthogonal geometry, and prove a connection to the Clifford algebra. .. LÄS MER

  5. 4. Rotationer, spinorer och spinn

    Kandidat-uppsats, Göteborgs universitet/Institutionen för matematiska vetenskaper

    Författare :Lars Wickström; Liqin Xu; Patrik Agné; Simon Jonsson; [2019-07-01]
    Nyckelord :;

    Sammanfattning : A central concept in quantum mechanics is spin. Certain quantum systems have the property that, at a full rotation, the system has not been reset, but is in the opposite configuration relative to the starting position. It is previously known that spin is hard to visualize. LÄS MER

  7. 5. Braid group statistics and exchange matrices of non-abelian anyons : with representations in Clifford algebra

    Kandidat-uppsats, KTH/Skolan för teknikvetenskap (SCI)

    Författare :Erik Sönnerlind; Gustav Brage; [2018]
    Nyckelord :;

    Sammanfattning : When leaving classical physics and entering the realm of quantum physics, there are many new concepts being introduced. One of the most fundamental ideas in quantum mechanics is that particles no longer have exact known positions, but instead expected values and prob- abilities. LÄS MER