Essays about: "Path Integrals"

Showing result 1 - 5 of 8 essays containing the words Path Integrals.

  1. 1. An Introduction to Symmetry Protected Topological Phases

    University essay from Uppsala universitet/Teoretisk fysik

    Author : David Petrovic; [2023]
    Keywords : ;

    Abstract : In this thesis, we aim to display characteristics of symmetry protected topological phases within quantum mechanics (QM). Building on well known aspects of QM, we relate the formalism to basic group representation theory, and review the connection between projective symmetries and protected vacuum degeneracies. READ MORE

  3. 2. Path Integrals in Quantum Mechanics and Low-Dimensional QFT

    University essay from Uppsala universitet/Teoretisk fysik

    Author : Johanna Adbo; [2023]
    Keywords : QFT; path integrals; quantum mechanics; kvantfältteori; vägintegraler; kvantmekanik;

    Abstract : The focus of this thesis is to introduce the path integral and some of its applications. One interpretation of quantum mechanics is that a microscopic system which moves from an initial- to a final state moves through each possible intermediate state. READ MORE

  4. 3. Path integrals in Quantum Mechanics and their application to low-dimensional supersymmetry

    University essay from Uppsala universitet/Teoretisk fysik

    Author : Gaétan Kaouadji; [2023]
    Keywords : Path integrals quantum mechanics quantum field theory supersymmetry;

    Abstract : This report aims to give an insight to the path integral formalism in quantum mechanics. After explaining the kernel's construction, some of its properties and ways to compute it, we see how it relates to the Schrödinger picture. Moreover, we see how its representation can change if it is defined in the space, momentum, time or energy space. READ MORE

  5. 4. Positivity of Heat Kernels

    University essay from KTH/Matematik (Avd.)

    Author : Manne Milton; [2019]
    Keywords : ;

    Abstract : Partial di˙erential equations are a well-studied field of mathematics, and in this thesis we attempt to use some of the newer methods, including path integrals (also known as Feynman path integrals) and the so-called geometric approach, to find conditions for the heat kernel of a di˙erential operator on a certain form to be zero. We also derive a maximum principle, more general than the classical one, that allows for degenerate di˙erential operators, where the degeneracy is controlled by a Muckenhoupt weight. READ MORE

  6. 5. Path Integrals and Quantum Mechanics

    University essay from Umeå universitet/Institutionen för fysik

    Author : Martin Sandström; [2015]
    Keywords : quantum; path integral; aharonov-bohm;

    Abstract : In this thesis we are investigating a different formalism of non-relativistic quantum mechanics called the path integral formalism. It is a generalization of the classical least action principle. READ MORE