Search for dissertations about: "exactly-solvable"

Showing result 1 - 5 of 11 swedish dissertations containing the word exactly-solvable.

  2. 1. Asymptotics of Eigenpolynomials of Exactly-Solvable Operators

    Author : Tanja Bergkvist; Boris Shapiro; Andrei Martinez-Finkelshtein; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; exactly-solvable; eigenpolynomials; zero distribution; asymptotics; MATHEMATICS; MATEMATIK; matematik; Mathematics;

    Abstract : The main topic of this doctoral thesis is asymptotic properties of zeros in polynomial families arising as eigenfunctions to exactly-solvable differential operators. The study was initially inspired by a number of striking results from computer experiments performed by G. Masson and B. Shapiro for a more restrictive class of operators. READ MORE

  4. 2. Fermions in two dimensions and exactly solvable models

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

    Abstract : 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. READ MORE

  5. 3. Exactly Solvable Models for Self-Assembly

    Author : Erik Edlund; Chalmers tekniska högskola; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES;

    Abstract : 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. READ MORE

  6. 4. Non-equilibrium dynamics of exactly solvable quantum many-body systems

    Author : Per Moosavi; Edwin Langmann; Denis Bernard; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Fysik; Physics;

    Abstract : Recent experimental advances on ultracold atomic gases and trapped ions have made it possible to simulate exactly solvable quantum systems of interacting particles. In particular, the feasibility of making rapid changes, so-called quantum quenches, to such set-ups has allowed experimentalists to probe non-equilibrium phenomena in closed interacting quantum systems. READ MORE

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

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

    Abstract : 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. READ MORE