91 citations · 194 across the 8 of their papers we have counts for
9 papers
Hamiltonian quantization of solitons in the quantum field theory
David M. A. Stuart
We first carry out the soliton sector quantization of the spatially cut-off theory with double well potential in the semiclassical limit, deriving the nonrelativistic S…
Small amplitude solitary waves in the Dirac-Maxwell system
Andrew Comech, David Stuart
We study nonlinear bound states, or solitary waves, in the Dirac-Maxwell system proving the existence of solutions in which the Dirac wave function is of the form ,…
The Schwinger model on : Hamiltonian formulation, vacuum and anomaly
David M. A. Stuart
We present a Hamiltonian formulation of the Schwinger model on the circle in Coulomb gauge as a semi-bounded self-adjoint operator which is invariant under the modular group ${\cal…
Notes on the Schwinger model: regularization and gauge invariance
David M. A. Stuart
The point-splitting computation of the gauge invariant Hamiltonian for the Schwinger model on the circle in a positive energy representation is presented.
Nekhoroshev type stability results for Hamiltonian systems with an additional transversal component
Markus Kunze, David Stuart
We prove exponential stability theorems of Nekhoroshev type for motion in the neighbourhood of an elliptic fixed point in Hamiltonian systems having an additional transverse compon…
Weak-strong uniqueness of dissipative measure-valued solutions for polyconvex elastodynamics
Sophia Demoulini, David Stuart, Athanasios Tzavaras
For the equations of elastodynamics with polyconvex stored energy, and some related simpler systems, we define a notion of dissipative measure-valued solution and show that such a…