Essays about: "lorentz group"

Found 4 essays containing the words lorentz group.

  1. 1. Spin Representations, Clifford Algebras and Spinors

    University essay from Uppsala universitet/Matematiska institutionen

    Author : Simon Wogel; [2023]
    Keywords : Algebras; Clifford algebras; Spinors; Representations; Lie algebras; Lie groups; Algebror; Cliffordalgebror; Spinorer; Representationer; Liealgebror; Liegrupper;

    Abstract : We begin by giving some theoretical background to the underlying concepts of spin representations and spinors. This is done from the perspective of Lie groups and Lie algebras. In particular, we discuss the functionality of Clifford algebras in the determination of the double-covering spin groups. READ MORE

  3. 2. On the (1/2,1/2) Representation of the Lorentz Group and the Discrete CPT Symmetries

    University essay from Lunds universitet/Teoretisk partikelfysik - Geonomgår omorganisation

    Author : Nikolaj Skog Pirinen; [2021]
    Keywords : The Lorentz Group; Group Theory; Quantum Field Theory; CPT; Symmetry; Spinors; Representation Theory; Physics and Astronomy;

    Abstract : This thesis derives the explicit form of the elements of the (1/2,1/2) representation of the Lorentz group, by actually performing a direct product of the chiral (1/2,0)- and (0,1/2)-representations. The Lorentz transformations of fourvectors are thereafter recovered from this direct-product representation, allowing the derivation of a transformation matrix between the fourvector- and direct product basis. READ MORE

  4. 3. The 2+1 Lorentz Group and Its Representations

    University essay from Stockholms universitet/Fysikum

    Author : Klas Sjöstedt; [2020]
    Keywords : The Lorentz group; representation theory; anti-de Sitter space; relativity; Lorentzgruppen; representationsteori; anti-de Sitter-rum; relativitet;

    Abstract : The Lorentz group is a symmetry group on Minkowski space, and as such is central to studying the geometry of this and related spaces. The group therefore shows up also from physical considerations, such as trying to formulate quantum physics in anti-de Sitter space. READ MORE

  5. 4. Symmetries of the Point Particle

    University essay from Uppsala universitet/Teoretisk fysik

    Author : Alexander Söderberg; [2014]
    Keywords : symmetries; spin; classical physics; classical field theory; action; smooth spinning particle; pauli-lubanski; noether; theorem; poincare group; lorentz group; galilean transformations; relativistic; equations of motion; boost; rotation; translation; quantization; bosonic string; rigid particle; momentum; momenta; generators;

    Abstract : We study point particles to illustrate the various symmetries such as the Poincaré group and its non-relativistic version. In order to find the Noether charges and the Noether currents, which are conserved under physical symmetries, we study Noether’s theorem. READ MORE