Search for dissertations about: "Edwin Langmann"

Showing result 1 - 5 of 13 swedish dissertations containing the words Edwin Langmann.

2. 1. A kernel function approach to exact solutions of Calogero-Moser-Sutherland type models

   Author : Farrokh Atai; Edwin Langmann; Hjalmar Rosengren; KTH; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Kernel functions; Calogero-Moser-Sutherland models; Ruijsenaarsvan Diejen models; Elliptic functions; Exact solutions; Source Identities; Chalykh- Feigin-Sergeev-Veselov type deformations; non-stationary Heun equation; Physics; Fysik;

   Abstract : 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. 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 solved quantum many-body systems in one dimension

   Author : Martin Hallnäs; Edwin Langmann; Stefan Rauch-Wojciechowski; KTH; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Physics; Fysik;

   Abstract : 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. READ MORE

6. 4. 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

7. 5. Quaternionic Transgression in Hyperkähler Geometry

   Author : Alexei Kotov; Edwin Langmann; Uppsala universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Theoretical physics; Hyperkähler manifold; Hyperholomorphic bundle; Superconnection; Local index theorem; Chiral determinant; Transgression; Teoretisk fysik; Physics; Fysik; Theoretical Physics; teoretisk fysik;

   Abstract : 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. READ MORE