8 citations · 23 across the 8 of their papers we have counts for
4 papers · 1 filter
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…
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…