8 citations · 23 across the 8 of their papers we have counts for
9 papers
On the non-existence of zero modes
Daniel M. Elton
We consider magnetic fields on which are parallel to a conformal Killing field. When the latter generates a simple rotation we show that a Weyl-Dirac operator with s…
Decay rates at infinity for solutions to periodic Schrödinger equations
Daniel M. Elton
We consider the equation in exterior domains in and , where has certain periodicity properties. In particular we show that such equations c…
Asymptotics for Erdos-Solovej Zero Modes in Strong Fields
Daniel M. Elton
We consider the strong field asymptotics for the occurrence of zero modes of certain Weyl-Dirac operators on . In particular we are interested in those operators $\ma…
Modelling across extremal dependence classes
Jennifer Wadsworth, Jonathan Tawn, Anthony Davison +1
Different dependence scenarios can arise in multivariate extremes, entailing careful selection of an appropriate class of models. In bivariate extremes, the variables are either as…
Approximate Zero Modes for the Pauli Operator on a Region
Daniel M. Elton
Let denoted the Pauli operator on a bounded open region with Dirichlet boundary conditions and magnetic potential scaled by some $t>…
Eigenvalues of a one-dimensional Dirac operator pencil
Daniel M. Elton, Michael Levitin, Iosif Polterovich
We study the spectrum of a one-dimensional Dirac operator pencil, with a coupling constant in front of the potential considered as the spectral parameter. Motivated by recent inves…
Asymptotics for the Eigenvalues of the Harmonic Oscillator with a Quasi-Periodic Perturbation
Daniel M. Elton
We consider operators of the form H+V where H is the one-dimensional harmonic oscillator and V is a zero-order pseudo-differential operator which is quasi-periodic in an appropriat…
Fredholm Properties of Elliptic Operators on
Daniel M. Elton
We study the Fredholm properties of a general class of elliptic differential operators on . These results are expressed in terms of a class of weighted function spaces, which…
The Dirac equation without spinors
Daniel M. Elton, Dmitri Vassiliev
In the first part of the paper we give a tensor version of the Dirac equation. In the second part we formulate and analyse a simple model equation which for weak external fields ap…