Sökning: "integral kernel"

Visar resultat 1 - 5 av 8 uppsatser innehållade orden integral kernel.

  1. 1. Integrability and Thermodynamics of the Gross-Neveu Model

    Master-uppsats, KTH/Fysik

    Författare :Valdemar Melin; [2023]
    Nyckelord :Mathematical Physics; Quantum Field Theory; Bethe Ansatz; Gross-Neveu Model; Matematisk fysik; kvantfältteori; Bethe-ansatsen; Gross-Neveu-modellen;

    Sammanfattning : The Gross-Neveu model is a quantum field theory of interacting N-flavor fermions in 1+1dimensions, with interaction term $(\bar{\psi}_f\psi_f )^2$. This model is studied using the property offactorized scattering. LÄS MER

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

    Kandidat-uppsats, Uppsala universitet/Teoretisk fysik

    Författare :Gaétan Kaouadji; [2023]
    Nyckelord :Path integrals quantum mechanics quantum field theory supersymmetry;

    Sammanfattning : 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. LÄS MER

  4. 3. Towards a method for antenna impedance tailoring through shapeoptimization, with a bound on the associated cost-function

    Master-uppsats, KTH/Skolan för elektroteknik och datavetenskap (EECS)

    Författare :Cem Kesici; [2020]
    Nyckelord :;

    Sammanfattning : Over the last years, there has been an interest in designing antennas that operateat higher frequencies. In most applications, these antennas work jointly withPower Amplifiers. However, most commercial Power Amplifiers have a nonstandardoptimal load-pull impedance in their optimal operating frequencies. LÄS MER

  5. 4. Positivity of Heat Kernels

    Master-uppsats, KTH/Matematik (Avd.)

    Författare :Manne Milton; [2019]
    Nyckelord :;

    Sammanfattning : 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. LÄS MER

  7. 5. Efficient Quadrature Settings for Elliptic PDE’s using a Coupled FEM and BEM Solver in COMSOL Multiphysics

    Master-uppsats, KTH/Numerisk analys, NA

    Författare :Gustav Friberg; [2014]
    Nyckelord :;

    Sammanfattning : By using singular integral kernels based on the fundamental solution, a partial differential equation (PDE) can be rewritten as a boundary integral defined at the boundary of a domain. This requires a linear differential operator with coefficients that are isotropic and homogeneous in space. LÄS MER