53 citations · 63 across the 2 of their papers we have counts for
2 papers
math-ph2006★ 10 cited
On the number of bound states for weak perturbations of spin-orbit Hamiltonians
Jochen Bruening, Vladimir Geyler, Konstantin Pankrashkin
We give a variational proof of the existence of infinitely many bound states below the continuous spectrum for some weak perturbations of a class of spin-orbit Hamiltonians includi…
math-ph2005★ 53 cited
Cantor and band spectra for periodic quantum graphs with magnetic fields
Jochen Bruening, Vladimir Geyler, Konstantin Pankrashkin
We provide an exhaustive spectral analysis of the two-dimensional periodic square graph lattice with a magnetic field. We show that the spectrum consists of the Dirichlet eigenvalu…