Sökning: "Integrable system"
Visar resultat 1 - 5 av 13 uppsatser innehållade orden Integrable system.
1. Integrability of super spin chains in 6D N=(1,0) SCFTs
Kandidat-uppsats, Uppsala universitet/Teoretisk fysikSammanfattning : Superconformal field theories (SCFTs) are an important class of quantum field theories. These SCFTs have been a significant component in exploring and comprehending the fundamental framework of quantum field theories. LÄS MER
2. Exact Solutions of Soliton Equations and Dynamical Systems
Kandidat-uppsats, KTH/Skolan för teknikvetenskap (SCI)Sammanfattning : This report investigates how one can construct soliton solutions to the following solitonequations: the Korteweg-de Vries equation, the Benjamin-Ono equation, and the spinBenjamin-Ono equation by making rational pole ansätze, which are ansätze that dependon eponymous pole parameters moving in the complex plane. In doing so we demonstratea connection between these soliton solutions and the class of integrable dynamical systemsknown as Calogero-Moser systems. LÄS MER
3. An Introduction to Hitchin Systems
Kandidat-uppsats, Lunds universitet/Matematik LTH; Lunds universitet/Matematik (naturvetenskapliga fakulteten); Lunds universitet/MatematikcentrumSammanfattning : This thesis aims to introduce the tools that are needed to understand — and historically led to the inception of — Hitchin systems. We lay out a basic theory of Hamiltonian systems on symplectic manifolds, and prove the Liouville-Arnold theorem, which states that integrable Hamiltonian systems admit coordinates in which their solution is basically linear. LÄS MER
4. Crosscap States in Integrable Spin Chains
Master-uppsats, KTH/FysikSammanfattning : We consider integrable boundary states in the Heisenberg model. We begin by reviewing the algebraic Bethe Ansatz as well as integrable boundary states in spin chains. Then a new class of integrable states that was introduced last year by Caetano and Komatsu is described and expanded. We call these states the crosscap states. LÄS MER
5. A unified view of a family of soliton equations related to spin Calogero-Moser systems
Master-uppsats, KTH/FysikSammanfattning : We study the interconnections between the spin Benjamin-Ono (sBO) and half-wave maps (HWM) equations, a pair of nonlinear partial integro-differential equations that have recently been found to permit multi-soliton solutions, where the time evolution of the constituent solitons can be described in terms of the well-known, completely integrable, spin Calogero-Moser (sCM) system. By considering a symmetry transformation of the sCM dynamics we are led to introduce a scale parameter into the sBO equation, yielding what we call the rescaled sBO (rsBO) equation, which has both the sBO and HWM equations as special cases. LÄS MER