203 citations
- A. Alikhanyan National LaboratoryAM1 paper
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math-ph2004★ 15 cited
On-diagonal singularities of the Green functions for Schroedinger operators
Jochen Bruening, Vladimir Geyler, Konstantin Pankrashkin
We investigate the behavior of the Green functions of Schroedinger operators near the diagonal. The only non-trivial cases, where the on-diagonal singularities are non-zero and do…
math-ph2004★ 3 cited
On semiclassical dispersion relations of Harper-like operators
Konstantin Pankrashkin
We describe some semiclassical spectral properties of Harper-like operators, i.e. of one-dimensional quantum Hamiltonians periodic in both momentum and position. The spectral regio…