Sökning: "Hilbert spaces"

Visar resultat 1 - 5 av 8 uppsatser innehållade orden Hilbert spaces.

  1. 1. On quantum systems and the measurement problem

    Master-uppsats, Stockholms universitet/Fysikum

    Författare :Nicolas Boulle; [2023]
    Nyckelord :Quantum physics; the measurement problem; quantum information; Hilbert spaces; physical systems; unitary; collapse; Euler angles parametrization; Copenhagen interpretation; many- world; measure;

    Sammanfattning : We focus on the Tensor Product Structure (TPS) of the Hilbert space and the fact that a choice in the TPS has an impact on the representation of the studied quantum system. We define the measurement problem in quantum mechanics and present some theories about quantum mechanics, each of them highlighting a different approach to quantum measurements. LÄS MER

  3. 2. Hilbert spaces and the Spectral theorem

    Kandidat-uppsats, Uppsala universitet/Analys och sannolikhetsteori

    Författare :Felicia Lapinski; [2021]
    Nyckelord :;

    Sammanfattning : .... LÄS MER

  4. 3. Mathematical Optimization in SVMs

    Kandidat-uppsats, KTH/Skolan för teknikvetenskap (SCI)

    Författare :Erik Keanius; [2021]
    Nyckelord :;

    Sammanfattning : In this thesis, support vector machines (SVMs) are studied from a mathematical optimization viewpoint. Both the linear case using hard-margin as well as soft-margin classification and the non-linear case using kernel functions are discussed. The theory of kernel Hilbert spaces is introduced and related to the non-linear SVM case. 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. Boundedness of a Class of Hilbert Operators on Modulation Spaces

    Kandidat-uppsats, Linnéuniversitetet/Institutionen för matematik (MA)

    Författare :Nils Zandler Andersson; [2019]
    Nyckelord :;

    Sammanfattning : In this work we take interest in frames and modulation spaces. On the basis of their properties, we show how frame expansions can be used to prove the boundedness of a particular class of Hilbert operators on modulation spaces taking advantage of the special category of piece-wise polynomial functions known as B-splines. .. LÄS MER