Essays about: "Supersymmetric Quantum Mechanics"

Showing result 1 - 5 of 8 essays containing the words Supersymmetric Quantum Mechanics.

  1. 1. Supersymmetry in Quantum Mechanics

    University essay from Uppsala universitet/Institutionen för materialvetenskap

    Author : Ludvig Chen; [2023]
    Keywords : Quantum Mechanics; Supersymmetry; Witten Index; Morse Theory;

    Abstract : The introduction of supersymmetry has led to great progress in the study of quantum field theories. Notably, with supersymmetry, properties of a quantum field theory can be computed with higher precision than what would otherwise be possible. In this project, we investigate supersymmetry in the context of quantum mechanics. READ MORE

  3. 2. Supersymmetric Quantum Mechanics, Index Theorems and Equivariant Cohomology

    University essay from Uppsala universitet/Teoretisk fysik

    Author : Hans Nguyen; [2018]
    Keywords : supersymmetry; SUSY; quantum mechanics; index theorem; path integral; non-linear sigma model; spin complex; Chern-Gauss-Bonnet theorem; Witten index; equivariant cohomology; Weil model; Cartan model;

    Abstract : In this thesis, we investigate supersymmetric quantum mechanics (SUSYQM) and its relation to index theorems and equivariant cohomology. We define some basic constructions on super vector spaces in order to set the language for the rest of the thesis. READ MORE

  4. 3. Equivariant Localization in Supersymmetric Quantum Mechanics

    University essay from Uppsala universitet/Teoretisk fysik

    Author : Emil Hössjer; [2018]
    Keywords : Equivariant cohomology; localization; Cartan model; quantum mechanics; supersymmetry; partition function;

    Abstract : We review equivariant localization and through the Feynman formalism of quantum mechanics motivate its role as a tool for calculating partition functions. We also consider a specific supersymmetric theory of one boson and two fermions and conclude that by applying localization to its partition function we may arrive at a known result that has previously been derived using different approaches. READ MORE

  5. 4. Index Theorems and Supersymmetry

    University essay from Uppsala universitet/Teoretisk fysik

    Author : Andreas Eriksson; [2014]
    Keywords : Aiyah-Singer Index Theorem: Witten Index: Supersymmetric Quantum Mechanics; Path Integrals;

    Abstract : The Atiyah-Singer index theorem, the Euler number, and the Hirzebruch signature are derived via the supersymmetric path integral. Concisely, the supersymmetric path integral is a combination of a bosonic and a femionic path integral. READ MORE

  6. 5. Supersymmetry in Quantum Mechanics

    University essay from Lunds universitet/Teoretisk partikelfysik - Geonomgår omorganisation; Lunds universitet/Institutionen för astronomi och teoretisk fysik - Genomgår omorganisation

    Author : Simon Kuberski; [2014]
    Keywords : supersymmetric quantum mechanics; partner potentials; quantum mechanics; partner Hamiltonian; shape invariant potential; shape invariance; Morse potential; Physics and Astronomy;

    Abstract : This thesis gives an introduction to the basic formalism of one-dimensional supersymmetric quantum mechanics. The factorization of a Hamiltonian is used to create a supersymmetric partner Hamiltonian. READ MORE