Sökning: "Self-adjoint"

Visar resultat 1 - 5 av 13 uppsatser innehållade ordet Self-adjoint.

  1. 1. The Pseudo-Unitary Group U(p,q) in Quantum Magnonics

    L3-uppsats, Uppsala universitet/Materialteori

    Författare :Maximilian Meyer-Mölleringhof; [2024]
    Nyckelord :quantum magnonics; materials theory; pseudo-unitary; quantum mechanics; magnons; antiferromagnets;

    Sammanfattning : The study of magnons is an essential part of combining quantum information science and spintronics, allowing for the investigation of quantum properties such as entanglement in solid-state devices. Magnons are commonly described using the theory of T. Holstein and H. LÄS MER

  3. 2. An operator theoretic approach to the Riemann Hypothesis

    Master-uppsats, Lunds universitet/Matematik (naturvetenskapliga fakulteten); Lunds universitet/Matematikcentrum

    Författare :Ramon Arjan van de Scheur; [2023]
    Nyckelord :Riemann hypothesis; Prime number theorem; Prime number theorem for arithmetic progressions; operator theoretic equivalent; compact operator; prime-counting function; Chebyshev function; Laplace transform; Fourier transform; convolution operator; weak topology; strong topology; compact perturbation; Tauberian theorem; Poisson kernel; holomorphic; self-adjoint; spectrum; trace; Mathematics and Statistics;

    Sammanfattning : In 2023 an operator theoretic approach to the Prime Number Theorem was introduced by Olsen. In this thesis this approach is examined and applied to give a new, operator theoretic, proof of a different version of the Prime Number Theorem and of the Prime Number Theorem for arithmetic progressions. LÄS MER

  4. 3. Embedded eigenvalues for asymptotically periodic ODE Systems

    Master-uppsats, Lunds universitet/Matematik LTH

    Författare :Wilhelm Treschow; [2022]
    Nyckelord :embedded eigenvalue perturbation theory ODE theory; Mathematics and Statistics;

    Sammanfattning : In this thesis we investigate the persistance of embedded eigenvalues under perturbations of a certain self-adjoint Schrödinger-type differential operator in L^2(\mathbb{R},\mathbb{R}^n), with an asymptotically periodic potential. The studied perturbations are small and belong to a certain Banach space with a specified decay rate, in particular, a weighted space of continuous matrix valued functions. LÄS MER

  5. 4. Gleasons sats

    Kandidat-uppsats, Göteborgs universitet/Institutionen för matematiska vetenskaper

    Författare :David Lidell; Therese Karmstrand; Lorents Landgren; Johan Ulander; [2019-06-26]
    Nyckelord :;

    Sammanfattning : This paper aims to present Gleason’s theorem and a full proof, by the most elementary methods of analysis possible. Gleason’s theorem is an important theorem in the mathematical foundations of quantum mechanics. It characterizes measures on closed subspaces of separable Hilbert spaces of dimension at least 3. LÄS MER

  7. 5. Basic quantisation rules of semiclassical analysis

    Uppsats för yrkesexamina på avancerad nivå, Uppsala universitet/Analys och sannolikhetsteori

    Författare :Anders Israelsson; [2016]
    Nyckelord :Semiclassical analysis; Gårding inequality; Borel Theorem; Kohn-Nirenberg; Weyl; Quantization; Symbol; Asympotic expansion; Schwartz space; Tempered distribution; Pseudodifferential operator; Fourier transform; Stationary phase; Microlocal analysis; Oscillatory integral; Poisson Bracket; Lie Bracket;

    Sammanfattning : Semiclassical analysis is the study of how to connect classical mechanics with quantummechanics in a mathematically rigorous way. What is crucial for quantum mechanics isthat the operators that occur are self-adjoint and map a subset of L2 into L2. This hasbeen proven in this thesis. LÄS MER