Sökning: "Quantum geometry"
Visar resultat 1 - 5 av 116 avhandlingar innehållade orden Quantum geometry.
1. Exploring the Set of Quantum States
Sammanfattning : Quantum mechanical properties of finite dimensional quantum systems are used within the field of quantum information. In this thesis the set of states (density matrices) for such systems is studied and described, largely in geometrical terms. LÄS MER
2. Morphisms of real calculi from a geometric and algebraic perspective
Sammanfattning : Noncommutative geometry has over the past four of decades grown into a rich field of study. Novel ideas and concepts are rapidly being developed, and a notable application of the theory outside of pure mathematics is quantum theory. LÄS MER
3. Irreducible Representations of Quantum Affine Algebras
Sammanfattning : 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. LÄS MER
4. Quantum and Ballistic Nanodevices
Sammanfattning : In this thesis, electron transport in quantum and ballistic devices was studied. The devices studied here were quantum wires, planar quantum dots, ballistic rectifiers, artificial functional materials, and three-terminal ballistic junctions. The possible application of such devices in the future nanoelectronics was also investigated. LÄS MER
5. Automorphic forms and string theory: Small automorphic representations and non-perturbative effects
Sammanfattning : This compilation thesis stems from a project with the purpose of determining non-perturbative contributions to scattering amplitudes in string theory carrying important information about instantons, black hole quantum states and M-theory. The scattering amplitudes are functions on the moduli space invariant under the discrete U-duality group and this invariance is one of the defining properties of an automorphic form. LÄS MER