Sökning: "Hamiltonian mechanics"

Visar resultat 1 - 5 av 22 uppsatser innehållade orden Hamiltonian mechanics.

  1. 1. Numerical Simulations of Resonant Tunnelling Diodes

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

    Författare :Love Sundström; Alexander Holmström Janeld; [2023]
    Nyckelord :Quantum mechanics; numerical methods; resonant tunnelling diode;

    Sammanfattning : In this thesis, four different numerical techniques are implemented for the purpose of simulating resonant tunnelling diodes (RTDs). The chosen methods were: piecewise constant transfer matrix (TMM-C), piecewise linear transfer matrix (TMM-L), quantum transmitting boundary method (QTBM), and the Crank-Nicolson method (CN). LÄS MER

  3. 2. Creating Artificial Quantum Chiral States : Time Evolving Open Spin Chains

    Kandidat-uppsats, Uppsala universitet/Materialteori

    Författare :Emil Beiersdorf; [2023]
    Nyckelord :Quantum chirality; chirality; spin interaction; Heisenberg interaction; DM interaction; quantum physics; quantum mechanics; molecular nanomagnet; mathematical physics; theoretical physics; Kvantkiralitet; kiralitet; spinninteraktioner; Heisenberginteraktion; DMinteraktion; kvantfysik; kvantmekanik; molekylär nanomagnet; matematisk fysik; teoretisk fysik;

    Sammanfattning : The discoveries in applications of chirality in various areas of science seem to never cease to emerge. Chirality, being the property that some objects are geometrically distinguishable from their mirror image, is a tiny difference of vast importance. LÄS MER

  4. 3. Local Integrals of Motion from Neural Networks

    Master-uppsats, KTH/Fysik

    Författare :Hannes Karlsson; [2023]
    Nyckelord :many-body localization; integrals of motion; neural networks; machine learning; flerkroppslokalisering; rörelseintegraler; neurala nätverk; maskininlärning;

    Sammanfattning : Neural network quantum states (NNQS) is a novel machine learning method, based on restricted Boltzmann machines, previously used to represent the wave function in many-body quantum mechanics. In this thesis, we use NNQS to instead find integrals of motion, i.e., operators, commuting with the Hamiltonian, describing a system. LÄS MER

  5. 4. Braids and configuration spaces

    Kandidat-uppsats, Uppsala universitet/Geometri och fysik

    Författare :Andersson Rasmus; [2023]
    Nyckelord :braids; braid groups; configuration space; algebraic topology; group theory; fundamental group; covering spaces;

    Sammanfattning : A configuration space is a space whose points represent the possible states of a given physical system. As such they appear naturally both in theoretical physics and technical applications. LÄS MER

  7. 5. An Introduction to Hitchin Systems

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

    Författare :Manuel Neumayer; [2023]
    Nyckelord :Mathematics and Statistics;

    Sammanfattning : This thesis aims to introduce the tools that are needed to understand — and historically led to the inception of — Hitchin systems. We lay out a basic theory of Hamiltonian systems on symplectic manifolds, and prove the Liouville-Arnold theorem, which states that integrable Hamiltonian systems admit coordinates in which their solution is basically linear. LÄS MER