Browsing Pure & Applied Mathematics (Theses and Dissertations) by Title

Now showing items 65-68 of 68

    • The radiation bound for a Klein-Gordon field on a static spherical spacetime 

      Collins, Michael Patrick (Trinity College (Dublin, Ireland). School of Mathematics, 2013)
      We establish a well-posed Cauchy problem in Minkowski (R4, η), associated with a radiating Klein-Gordon field ψ(x) = eztψ(xi), in curvature coordinates {xμ = t, p, θ,Φ} on a static spherically symmetric spacetime (M, g). ...

    • Towards Excited Radiative Transitions in Charmonium 

      O'HARA, CIAN (Trinity College Dublin. School of Mathematics. Discipline of Pure & Applied Mathematics, 2019)
      In this thesis lattice QCD is utilised to investigate the spectrum of charmonium and charmed mesons with the aim of working towards investigating radiative transitions between excited states in the charmonium spectrum. ...

    • Yang-Baxter integrable open quantum systems 

      Paletta, Chiara (Trinity College Dublin. School of Mathematics. Discipline of Pure & Applied Mathematics, 2023)
      The main result of this thesis is the use of the boost operator to develop a systematic method to construct new integrable spin chains with nearest-neighbour interaction and characterized by an R-matrix of non-difference ...

    • Yang-Mills instantons on the taub-NUT space and supersymmetric N=2 gauge theories with impurities 

      O'Hara, Clare (Trinity College (Dublin, Ireland). School of Mathematics, 2010)
      We write a formula for arbitrary charge calorons, instantons on R3 x S1, in terms of the Green's function of the Laplacian defined for the Nahm Transform, thus generalising the formula for the charge one caloron derived ...