Search for dissertations about: "quantum group"

Showing result 1 - 5 of 139 swedish dissertations containing the words quantum group.

  2. 1. Irreducible Representations of Quantum Affine Algebras

    Author : Jesper Thorén; Matematik (naturvetenskapliga fakulteten); []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Number Theory; Matematik; Mathematics; quantum evaluation modules; highest weight representations; quantum Yang-Baxter equation; quantum affine algebras; quantum groups; comultiplication; Hopf algebras; affine Lie algebras; field theory; algebraic geometry; algebra; group theory; Talteori; fältteori; algebraisk geometri; gruppteori;

    Abstract : We construct finite-dimensional representations of the quantum affine algebra associated to the simple finite-dimensional Lie algebra sl(n+1). The module structure is defined on the vector space tensor product of the fundamental representations of the quantum affine algebra. READ MORE

  4. 2. Multivariable Orthogonal Polynomials as Coupling Coefficients for Lie and Quantum Algebra Representations

    Author : Hjalmar Rosengren; Matematik (naturvetenskapliga fakulteten); []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; higher order Hankel form; Wigner symbol; quadratic algebra; Clebsch-Gordan coefficient; quantum group; Lie group; highest weight representation; multivariable orthogonal and biorthogonal polynomials; multivariable hypergeometric and basic hypergeometric functions; algebraisk topologi; Geometry; Geometri; algebraic topology;

    Abstract : The main topic of the thesis is the connection between representation theory and special functions. We study matrix elements, coupling coefficient, and recoupling coefficients for the simplest Lie and quantum groups. READ MORE

  5. 3. Majorana Representation in Quantum Optics : SU(2) Interferometry and Uncertainty Relations

    Author : Saroosh Shabbir; Gunnar Björk; Maria Chekhova; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Majorana representation; Quantum optics; interferometry; SU 2 group; angular momentum; arbitrary optical gates; Fysik; Physics;

    Abstract : The algebra of SU(2) is ubiquitous in physics, applicable both to the atomic spin states and the polarisation states of light. The method developed by Majorana and Schwinger to represent pure, symmetric spin-states of arbitrary value as a product of spin-1/2 states is a powerful tool that allows for a great conceptual and practical simplification. READ MORE

  6. 4. InAS Quantum Dots for Laser Applications and Pedogogical, Gender, and Multicultural Aspects in Engineering Education

    Author : Fariba Ferdos; Chalmers tekniska högskola; []
    Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; NATURVETENSKAP; NATURAL SCIENCES; SAMHÄLLSVETENSKAP; SOCIAL SCIENCES; TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; gender; InAs quantum dots; SiC diode; engineer; online learning.; self-organised quantum dots; engineering education; pedagogy; molecular beam epitaxy; group work; cross-cultural study; quantum dot lasers;

    Abstract : This thesis builds on new cross-disciplinary research between engineering and educational sciences. Recently, two other theses that combine research in physics and education (Åke Ingerman, 2002, and Tom Adawi, 2002) have been completed in Sweden. This thesis consolidates a trend that can benefit both disciplines. READ MORE

  7. 5. Generalized Weyl algebras and elliptic quantum groups

    Author : Jonas T. Hartwig; Göteborgs universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Generalized Weyl algebra; weight module; quantum Weyl algebra; ambiskew polynomial ring; unitarizable module; Hopf algebra; dynamical quantum group; Hopf algebra;

    Abstract : .... READ MORE