Search for dissertations about: "unitary representation"

Showing result 1 - 5 of 8 swedish dissertations containing the words unitary representation.

  2. 1. Exercising Mathematical Competence: Practising Representation Theory and Representing Mathematical Practice

    Author : Anna Ida Säfström; Göteborgs universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; SAMHÄLLSVETENSKAP; SOCIAL SCIENCES; Mathematical competence; exercising competencies; young children; whole number arithmetic; tertiary level; proving; highest weight representation; tensor product decomposition; skew-symmetric matrix; moment map; infinite dimensional unitary representation; highest weight representation;

    Abstract : This thesis assembles two papers in mathematics and two papers in mathematics education. In the mathematics part, representation theory is practised. Two Clebsch-Gordan type problems are addressed. READ MORE

  4. 2. Automatic manipulation of unitary groups

    Author : Foad Vojdani-Ghamsari; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES;

    Abstract : This thesis presents a set of user-minded interactive computer programs for manipulation of the irreducible representations of unitary groups U(n) and SU(n).The internal representation of the basis vectors belonging to the irreducible representations are in terms of Gel'fand patterns which are generated by the program and are used in different computations. READ MORE

  5. 3. The type I and CCR properties for groupoids and inverse semigroups

    Author : Gabriel Favre; Sven Raum; Fernando Llédo; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Representations; groupoids; type I; Operator algebra; unitary representation;

    Abstract : This licentiate thesis consists of one paper about unitary representationtheory of ample groupoids and semigroups together with generalizationsto étale and non-Hausdorff groupoids. In the paper we study algebraically the type I and CCR properties forample Hausdorff groupoids. READ MORE

  6. 4. The one-dimensional Kondo Lattice in the Majorana Fermion representation

    Author : Matteo Bazzanella; Göteborgs universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Majorana fermions; kondo lattice; path integral; spin-selective kondo insulator;

    Abstract : This thesis analyses the possibilities offered by the representation of quantum mechanical operators in terms of Majorana fermions. These objects can be imagined as algebraic constituents of the fermionic degrees of freedom, allowing for a different representation of many Hamiltonians. READ MORE

  7. 5. Linking Probability Theory and Quantum Mechanics, and a Novel Formulation of Quantization

    Author : Fritiof Wallentin; Andrei Khrennikov; Kisil Vladimir; Linnéuniversitetet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; quantum mechanics; contextuality; probabilistic interpretation; Born’s rule; frequentist interpretation; unitary representations; classical statistical mechanics; Koopman-von Neumann formulation; hidden-variable model; quantization.; Matematik; Mathematics;

    Abstract : This doctoral thesis in mathematics consists of three articles that explore the probabilistic structure of quantum mechanics and quantization from a novel perspective.The thesis adopts a probabilistic interpretation of quantum mechanics, which views the archetypical quantum experiments of Bell- and double-slit- type as violating the principle of non-contextuality, i. READ MORE