Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 104 for “"non-abelian"”.
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SYMMETRIC PRESENTATIONS OF NON-ABELIAN SIMPLE GROUPS
… PSL(2,11), Unitary group U(3,3) and many other non-abelian simple groups. Our purpose is to find all simple non-abelian groups as homomorphic images of permutation or monomial progenitors, as well grasping a deep understanding of group theory and extension theory to determine groups up to …
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Majorana qubits in non-Abelian topological superconductors
Non-Abelian superconductors are novel systems with exotic quasiparticle excitations, namely Majorana fermions, which obey non-Abelian quantum statistics. They are exploited as hardware platforms for fault-tolerant topological quantum computing. In this thesis, we primarily study the non-topological …
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Some aspects of non-Abelian gauge theories
… thesis we consider two aspects of the theory of non-Abelian gauge fields. In the first part,we calculate the fermion-fermion scattering amplitude for a non-Abelian gauge theory with SU(N) gauge symmetry in the limit of high energy with fixed momentum transfer through sixth order in the coupling …
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Non-Abelian Anyons in the Kitaev Honeycomb Model
The non-Abelian Berry phase is an essential feature of non-Abelian anyons for the realization of topological quantum computation. This thesis is primarily a study about the numerical calculation of the Berry phase of non-Abelian anyons in the Kitaev honeycomb lattice model. It is also a guide for …
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Non-Abelian Composition Factors of m-Rational Groups
… W. Feit and G. Seitz classified the possible non-abelian composition factors of (non-solvable) rational groups, [14]. In 2008, J. Thompson found an upper bound of p≤13 for the order of the possible cyclic composition factors of an arbitrary rational group, and conjectured that the bound can be …
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Non-abelian duality for C*- algebraic covariant structures
… no conmutativas, pero vienen motivadas del caso Abeliano de la dualidad de Takai que es eventualmente generalizada.
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Integral Representations of Non-Abelian Groups of Order (Pq)
Made available in DSpace on 2014-12-09T22:17:17Z (GMT). No. of bitstreams: 1 6500887.pdf: 2773282 bytes, checksum: 51b86c6705afe64871688a9a656676cf (MD5) Previous issue date: 1964
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Dihedral non-Abelian Lattice Gauge Theories: Physics and Quantum Simulation
… gauge theories provide a first-principles, non-perturbative formulation of the fundamental interactions of the Standard Model, and their Hamiltonian reformulation on a quantum simulator offers a promising route to regimes---real-time dynamics, finite baryon density---that lie beyond the …
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Interacting non-Abelian anyons in an exactly solvable lattice model
In this thesis, we study the non-Abelian anyons that emerge as vortices in Ki-taev's honeycomb spin lattice model. By generalizing the solution of the model, we explicity demonstrate the non-Abelian fusion rules and the braid statistics that charaterize the anyons. This is based on showing the …
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Various Manifestation of Non -Abelian Statistics in Condensed Matter Systems
… topological degeneracy, it is natural to expect non-Abelian statistics to have some effect on topological degeneracy. To study the topological degeneracy of the Moore-Read nu = 5/2 quantum Hall state on a torus, we construct the wave functions of this state in the presence of two quasiholes [6]. …
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Topological Objects and Confinement in Non-Abelian Lattice Gauge Theory
… We isolate topological objects, specifically Abelian monopoles and center vortices, in these configurations. We then measure the contribution to the string tension from these objects, and compare the results to “full” measurements made on the original configurations. In addition we investigate …
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Stability, Range and Statistical Aspects of non-Abelian X-ray tomography
The non-Abelian X-ray transform on a Riemannian manifold with boundary (M,g) is a nonlinear map A → CA that associates to a matrix-valued and possibly direction-dependent function A, referred to as attenuation, its scattering data CA. The scattering data records initial-to-end-value maps for the …
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On certain results of Fourier analysis on non-abelian discrete groups.
… has ignited a wave of interest in the non-commutative aspects of analysis. This, in turn, helped to connect the tools in operator algebras with the techniques used in harmonic analysis to produce various deep results. The first part of the thesis will discuss about the characterization …
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Numerical tests of dual superconductivity in non-abelian lattice gauge theories
In this thesis, I describe numerical tests of the dual superconductivity hypothesis. After outlining the lattice gauge theory framework used in these calculations, I review the history of magnetic monopoles and dual superconductivity. The calculational procedure for determining the part of the …
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Edge tunneling and transport in non-abelian fractional quantum Hall systems
… are studied. Most examples are given for the non- abelian filling fraction ? = 5 2 Moore-Read Pfaffian state. For tunneling between opposite edges of an abelian fractional quantum Hall state at a quantum point contact, the perturbative calculation of tunneling current, conductance, and current …
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The broken non-abelian X-ray transform and inverse problems for connections at high fixed frequency
… The main inverse problem we study is the broken non-abelian X-ray transform. Given a connection A, its broken non-abelian X-ray transform is given by its parallel transports over a set of broken geodesics that start and end on the boundary. Here, a broken geodesic is a piecewise smooth curve …
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