Sökning: "Edwin Langmann"
Visar resultat 1 - 5 av 13 avhandlingar innehållade orden Edwin Langmann.
1. A kernel function approach to exact solutions of Calogero-Moser-Sutherland type models
Sammanfattning : This Doctoral thesis gives an introduction to the concept of kernel functionsand their signicance in the theory of special functions. Of particularinterest is the use of kernel function methods for constructing exact solutionsof Schrodinger type equations, in one spatial dimension, with interactions governedby elliptic functions. 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 solved quantum many-body systems in one dimension
Sammanfattning : This thesis is devoted to the study of various examples of exactly solved quantum many-body systems in one-dimension. It is divided into two parts: the first provides background and complementary results to the second, which consists of three scientific papers. LÄS MER
4. 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
5. Quaternionic Transgression in Hyperkähler Geometry
Sammanfattning : It is known, that hyperkähler varieties being a special case of Riemann and Kähler manifolds, admit more symmetries. For this reason, all important structures possibly admit hyperkähler generalization. Some of these generalizations make a theme of this thesis. LÄS MER