Essays about: "self-adjoint"

Showing result 1 - 5 of 12 essays containing the word self-adjoint.

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

    University essay from Uppsala universitet/Materialteori

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

    Abstract : 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. READ MORE

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

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

    Author : Ramon Arjan van de Scheur; [2023]
    Keywords : 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;

    Abstract : 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. READ MORE

  4. 3. Embedded eigenvalues for asymptotically periodic ODE Systems

    University essay from Lunds universitet/Matematik LTH

    Author : Wilhelm Treschow; [2022]
    Keywords : embedded eigenvalue perturbation theory ODE theory; Mathematics and Statistics;

    Abstract : 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. READ MORE

  5. 4. Basic quantisation rules of semiclassical analysis

    University essay from Uppsala universitet/Analys och sannolikhetsteori

    Author : Anders Israelsson; [2016]
    Keywords : 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;

    Abstract : 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. READ MORE

  6. 5. On Spectral Inequalities in Quantum Mechanics and Conformal Field Theory

    University essay from KTH/Matematik (Avd.)

    Author : Oscar Mickelin; [2015]
    Keywords : Schrödinger operators; Lieb-Thirring inequalities; commutation method; conformal field theory; Birman-Schwinger principle.; Schrödingeroperatorer; Lieb-Thirring-olikheter; kommutationsmetoden; konform fältteori; Birman-Schwinger-principen.;

    Abstract : Following Exner et al. (Commun. Math. Phys. READ MORE