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 202 for “"Integrable"”.
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Integrable Nonlinear Relativistic Equations
This work focuses on three nonlinear relativistic equations: the symmetric Chiral field equation, Einstein's field equation for metrics with two commuting Killing vectors and Einstein's field equation for diagonal metrics that depend on three variables. The symmetric Chiral field equation is …
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Quantum intertwiners and integrable systems
… quantum groups and eigenfunctions for quantum integrable systems. First, we study the Etingof-Kirillov Jr. expression of Macdonald polynomials as traces of intertwiners of quantum groups in the Gelfand-Tsetlin basis. In the quasiclassical limit, we obtain a new Harish-Chandra type integral …
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The Charged Free Boson Integrable Hierarchy.
North Carolina State University Theses Mathematics.
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Soliton solutions of noncommutative integrable systems
… is concerned with solutions of noncommutative integrable systems where the noncommutativity arises through the dependent variables in either the hierarchy or Lax pair generating the equation. Both Chapters 1 and 2 are entirely made up of background material and contain no new material. …
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Entanglement entropy in integrable quantum systems
… entropy of non unitary systems using integrable tools in continuum and discrete models. In particular, in the first article we generalise the method described in the seventh article in order to take into account non unitary conformal systems. In the second article we use a form factor …
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Cluster algebras and discrete integrable systems
… between cluster algebras and discrete integrable systems, especially T-systems and their specializations/generalizations. We give connections between the T-system or the octahedron relation, and the pentagram map and its various generalizations. A solution to the T-system with …
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Stochastic Dynamics on Integrable Lattice Models
The purpose of this thesis is to present some new results related to the six-vertex and dimer model. One theme is the construction and analysis of Markov processes which are naturally associated to these lattice models. Certain integrability properties of the six-vertex and dimer model, often …
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Studies of Integrable One-Dimensional Quantum Systems
In this thesis, I use the Bethe Ansatz (BA) to study various one-dimensional models. I first go through some background on the BA (both the coordinate and algebraic forms). I start the study by using the BA to compare bound state occurrences between the 2-particle XXZ, Bose–Hubbard, and Fermi– …
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Local conservation laws in quantum integrable systems
One of the phenomena associated with quantum integrable systems is the possibility of persistent currents, i.e. currents which do not decay away entirely, but have some portion that continues to flow undiminished and indefinitely. These residual currents are shown to be the conserved part of the …
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On orthogonal polynomials and related discrete integrable systems
… polynomial community after their connection with integrable systems was found. This thesis is concerned with the different ways these connections can occur. We approach the problem from both perspectives, by looking for integrable structures in orthogonal polynomials and by using an integrable …
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Anomalous quantum dynamics in scarred and integrable systems
Generic quantum systems are expected to reach local thermal equilibrium under their unitary dynamics starting from any initial state. This thesis presents scenarios in which such thermalization does not occur. Firstly, we establish the quantum integrability of the central spin-1 XX model by …
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Integrable Vortex Motions in Unbounded and Periodic Domains
In each of the vortex systems investigated, the motion of a passive particle in the field of the vortices is, in general, chaotic. One means of characterizing the advected field is through Thurston-Nielsen theory from topology. Using only information about the motions of the vortices themselves and …
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Rational matrix differential operators and integrable systems of PDEs
… [epsilon] ImC[lambda]. We call such pairs integrable. We give a sufficient condition on an integrable pair of matrix differential operators (A, B) to generate an infinite Lenard- Magri sequence when the rational matrix differential operator L = AB-1 is weakly non-local and the algebra of …
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Lie algebraic structures in integrable models, affine Toda field theory
This PhD thesis is concerned with integrable quantum field theories in one space and one time dimension. A field theory is said to be 'integrable' if it possesses an infinite set of conservation laws. The latter tremendously restrict the dynamics. For instance, there is no particle production and …
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Universal properties of the entanglement entropy in quantum integrable models
This thesis is a review of the works and ideas I have been developing in my doctoral studies, and it is mainly based on Castro-Alvaredo & Levi [2011]; Castro-Alvaredo et al. [2011]; Levi [2012]; Levi et al. [2013]. The specific aims of these works were to explore the methods developed in Calabrese …
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Embedding degree of freedom, integrable charges and extended phase space
Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2026-08-01
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Transition from integrable to chaotic domain in spectra of spin chains
… random matrix ensembles, in order to study the integrable-chaotic transition in the Heisenberg spin model. We consider three ways to break the integrability: presence on an external field on a single spin, coupling of an external random field with each spin in the chain and next nearest neighbor …
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Integrable and Integrated Optoelectronic Devices Grown by Metalorganic Chemical Vapor Deposition
This thesis describes several integrable and integrated optoelectronic devices grown by metalorganic chemical vapor deposition (MOCVD) crystal growth. The emphasis is on device design and fabrication using crystal growth techniques to minimize post-growth processing and add design flexibility.
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Poisson structures and degenerations of integrable systems related to y (gl2)
… dynamical system studied in the theory of integrable systems. It is known that the Toda lattice is related to other integrable systems: the DST system and the XXX model. We will generalize these three systems by attaching a Hamiltonian system to a nonincreasing sequence ▁k=(k_0,k_1,...,k_N) …
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