Sökning: "Exactly solvable models"

Visar resultat 1 - 5 av 9 avhandlingar innehållade orden Exactly solvable models.

  1. 1. Fermions in two dimensions and exactly solvable models

    Författare :Jonas de Woul; Edwin Langmann; Fabian Essler; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Bosonization; Exactly solvable models; Hubbard model; Mean field theory; Quantum field theory; Strongly correlated systems;

    Sammanfattning : This Ph.D. thesis in mathematical physics concerns systems of interacting fermions with strong correlations. For these systems the physical properties can only be described in terms of the collective behavior of the fermions. LÄS MER

  3. 2. Exactly Solvable Models for Self-Assembly

    Författare :Erik Edlund; Chalmers tekniska högskola; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES;

    Sammanfattning : The field of self-assembly studies the spontaneous formation of order from preexisting components.It holds the promise of fabricating tomorrows materials and devices not by traditional methods, but by designing building blocks that will act as supramolecular ``atoms'' and form the desired structures without external input. LÄS MER

  4. 3. Combinatorics of solvable lattice models with a reflecting end

    Författare :Linnea Hietala; Göteborgs universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; mathematics; mathematical physics; six-vertex model; eight-vertex SOS model; three-color model; reflecting end; domain wall boundary conditions; partition function; determinant formula; XYZ spin chain; alternating sign matrices; special polynomials; positive coefficients;

    Sammanfattning : I den här avhandlingen studerar vi några exakt lösbara, kvantintegrerbara gittermodeller. Izergin bevisade en determinantformel för partitionsfunktionen till sexvertexmodellen på ett gitter av storlek n × n med Korepins domänväggrandvillkor (domain wall boundary conditions – DWBC). LÄS MER

  5. 4. Quantum many-body systems exactly solved by special functions

    Författare :Martin Hallnäs; Edwin Langmann; Pavel Winternitz; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Quantum many-body systems; integrable systems; special functions; Mathematical physics; Matematisk fysik;

    Sammanfattning : This thesis concerns two types of quantum many-body systems in one dimension exactly solved by special functions: firstly, systems with interactions localised at points and solved by the (coordinate) Bethe ansatz; secondly, systems of Calogero-Sutherland type, as well as certain recently introduced deformations thereof, with eigenfunctions given by natural many-variable generalisations of classical (orthogonal) polynomials. The thesis is divided into two parts. LÄS MER

  7. 5. Towards First-Principles Understanding of Biomolecular Adsorption

    Författare :Svetla Chakarova Käck; Chalmers tekniska högskola; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; DFT; phenol; adenine; graphite; biomolecules; van der Waals interactions; denaturation; protein; lattice models; PAH dimers; adsorption;

    Sammanfattning : A fundamental understanding of the interactions of biomolecules, such as proteins and DNA, with surfaces is of immense importance in numerous applications and poses a true challenge for theory. Density functional theory (DFT) is a quantum-mechanical tool well established for its ability to balance large system size with good accuracy in first-principles studies. LÄS MER