Sökning: "exactly-solvable"
Visar resultat 1 - 5 av 11 avhandlingar innehållade ordet exactly-solvable.
1. Asymptotics of Eigenpolynomials of Exactly-Solvable Operators
Sammanfattning : 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. LÄS MER
2. Fermions in two dimensions and exactly solvable models
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. Exactly Solvable Models for Self-Assembly
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. Non-equilibrium dynamics of exactly solvable quantum many-body systems
Sammanfattning : 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. LÄS MER
5. Quantum many-body systems exactly solved by special functions
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