Sökning: "self-adjoint"
Visar resultat 1 - 5 av 13 uppsatser innehållade ordet self-adjoint.
1. The Pseudo-Unitary Group U(p,q) in Quantum Magnonics
L3-uppsats, Uppsala universitet/MaterialteoriSammanfattning : 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
2. An operator theoretic approach to the Riemann Hypothesis
Master-uppsats, Lunds universitet/Matematik (naturvetenskapliga fakulteten); Lunds universitet/MatematikcentrumSammanfattning : 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
3. Embedded eigenvalues for asymptotically periodic ODE Systems
Master-uppsats, Lunds universitet/Matematik LTHSammanfattning : 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
4. Gleasons sats
Kandidat-uppsats, Göteborgs universitet/Institutionen för matematiska vetenskaperSammanfattning : 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
5. Basic quantisation rules of semiclassical analysis
Uppsats för yrkesexamina på avancerad nivå, Uppsala universitet/Analys och sannolikhetsteoriSammanfattning : 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