Essays about: "Integrals"

Showing result 1 - 5 of 40 essays containing the word 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. Local Integrals of Motion from Neural Networks

    University essay from KTH/Fysik

    Author : Hannes Karlsson; [2023]
    Keywords : many-body localization; integrals of motion; neural networks; machine learning; flerkroppslokalisering; rörelseintegraler; neurala nätverk; maskininlärning;

    Abstract : Neural network quantum states (NNQS) is a novel machine learning method, based on restricted Boltzmann machines, previously used to represent the wave function in many-body quantum mechanics. In this thesis, we use NNQS to instead find integrals of motion, i.e., operators, commuting with the Hamiltonian, describing a system. READ MORE

  5. 4. 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

  6. 5. Complex Multiplicative Calculus and Mixed Problems

    University essay from Lunds universitet/Matematik LTH; Lunds universitet/Matematik (naturvetenskapliga fakulteten)

    Author : Axel Lokrantz; [2022]
    Keywords : multiplicative integrals; multiplicative calculus; product integrals; geometric mean; continuous geometric mean; geometric mean of non-negative random variables; inequality of arithmetic and geometric means; A_G-G_A inequality; generalized Hölder s inequality; multiplicative vector spaces; multiplicative function spaces; exponential transition functor; logarithmic Riemann surface; lift; function lift; projection; function projection; lift-projection method; multivalued complex multiplicative integrals; geometric expectation; mixed differential equation; Lambert W function; W; M; w and m functions; Mathematics and Statistics;

    Abstract : In this thesis we consider multiplicative integrals and derivatives on functions on the positive numbers, the logarithmic Riemann surface and the punctured complex numbers. Additive structures on the real and complex numbers are related to their multiplicative counterparts on the positive numbers and the logarithmic Riemann surface by defining exponential transition functors. READ MORE