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 12 of 12 for “"Topological solitons"”.
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Zero modes and degrees of freedom of topological solitons on the plane
In this thesis we analyse the coaxial multivortices of the Ginzburg-Landau, the Euclidean complex sine-Gordon-1 and -2 theories on the plane. More specifically, we determine the number of continuous free parameters describing the largest family of solutions, with these vortices as members. This is …
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Topological solitons of the nonlinear Dirac equation in 2+1 dimensional space time
… Dirac equation with Kerr nonlinearity supports topological edge states.
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Soliton Scattering on Obstructions in Relativistic Theories
… our studies of various scattering properties of topological and non-topological solitons on obstructions in the form of holes and barriers in (1+1) and (2+1) dimensions. These obstructions, barriers and holes, are inserted into the potential of the theory via the coupling parameter, ${\it ie}$ …
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Dense matter in effective meson theories
… relevant degrees of freedom. Baryons emerge as topological solitons in such theories. Nucleon properties are well reproduced within these models--the agreement with experiment improving with the complexity of the theory.
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Topological phenomena in ultracold atomic gases
Topological phenomena arise in a wide range of systems, with fascinating physical consequences. There is great interest in finding new ways to measure such consequences in ultracold atomic gas experiments. These experiments have significant advantages over the solid-state as ultracold atoms are …
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Soliton interactions and bound states
… interactions and bound states. We consider a on-topological soliton in (1 + 1) dimensions and topological models in (2 + 1) and (3 + 1) dimensions. In chapter 2 we consider Qballs, which are non-topological solitons, in (1 + 1) dimensions. Here we note the semi-integrable behaviour of …
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Rovibrational Dynamics of Nuclei and Molecules
… we consider small vibrations of Skyrmions (topological solitons which model atomic nuclei), developing new approximations to their quantum energy spectra which incor- porate both rotation-vibration and isorotation-vibration corrections. We find that the forms of these corrections are highly …
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B=4N Nuclei in the Skyrme Model
… model enables us to approximate nuclei via topological solitons known as Skyrmions. The B = 4 Skyrmion is of particular importance as its symmetry and stability means that multiple B = 4 Skyrmions can combine with each other to form larger B = 4N Skyrmions. In this thesis we investigate the …
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Skyrmions -- beyond rigid body quantisation
In the Skyrme model, nuclei are described as topological solitons known as Skyrmions. To make contact with nuclear data one must quantise these Skyrmions; most calculations to date have used rigid body quantisation, where the Skyrmions are allowed to rotate but remain rigid. The method reproduces …
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Analytical perspectives on localized solutions of the phi-4 theory
We investigate the topological and non-topological solitons—kink and breather—in the φ4 model. Our first objective is to explain the chaotic motion of the resonantly driven kink. To this end, we consider the evolution of the kink's wobbling and rocking modes and their coupling. To improve the …
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Pattern-forming in non-equilibrium quantum systems and geometrical models of matter
… multi-particle systems. On the basis of their topological and geometrical properties it is concluded that A_k can model a system of k+1 electrons, and D_k a system of a proton and k-1 electrons. Energy functionals which successfully reproduce the Coulomb interaction energy, and in one case also …
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Solitons and dualities in 2+1 dimensions
… paying particular attention to the roles of topological field theory, topological solitons, and duality. First, we consider the dynamics of nonrelativistic Chern--Simons-matter theories in $2+1$ dimensions. The theories we consider support vortex solutions and, at critical coupling, they …