Essays about: "supersymmetric quantum mechanics"
Showing result 1 - 5 of 8 essays containing the words supersymmetric quantum mechanics.
-
1. Supersymmetry in Quantum Mechanics
University essay from Uppsala universitet/Institutionen för materialvetenskapAbstract : 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
-
2. Supersymmetric Quantum Mechanics, Index Theorems and Equivariant Cohomology
University essay from Uppsala universitet/Teoretisk fysikAbstract : 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
-
3. Equivariant Localization in Supersymmetric Quantum Mechanics
University essay from Uppsala universitet/Teoretisk fysikAbstract : 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
-
4. Index Theorems and Supersymmetry
University essay from Uppsala universitet/Teoretisk fysikAbstract : 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
-
5. Supersymmetry in Quantum Mechanics
University essay from Lunds universitet/Teoretisk partikelfysik - Geonomgår omorganisation; Lunds universitet/Institutionen för astronomi och teoretisk fysik - Genomgår omorganisationAbstract : 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