Spectra of self-adjoint extensions and applications to solvable Schrödinger operators J Brüning, V Geyler, K Pankrashkin Reviews in Mathematical Physics 20 (01), 1-70, 2008 | 228 | 2008 |
Spectra of Schrödinger operators on equilateral quantum graphs K Pankrashkin Letters in Mathematical Physics 77 (2), 139-154, 2006 | 112 | 2006 |
Cantor and band spectra for periodic quantum graphs with magnetic fields J Brüning, V Geyler, K Pankrashkin Comm. Math. Phys. 269 (1), 87-105, 2007 | 58 | 2007 |
An effective Hamiltonian for the eigenvalue asymptotics of a Robin Laplacian with a large parameter K Pankrashkin, N Popoff J. Math. Pures Appl. 106, 615-650, 2016 | 55 | 2016 |
Mean curvature bounds and eigenvalues of Robin Laplacians K Pankrashkin, N Popoff Calculus of Variations and Partial Differential Equations 54 (2), 1947-1961, 2015 | 55 | 2015 |
Resolvents of self-adjoint extensions with mixed boundary conditions K Pankrashkin Rep. Math. Phys. 58 (2006) 207-221, 2006 | 50 | 2006 |
A remark on Krein's resolvent formula and boundary conditions S Albeverio, K Pankrashkin Journal of Physics A: Mathematical and General 38 (22), 4859, 2005 | 47 | 2005 |
Formally self-adjoint quasi-differential operators and boundary value problems A Goriunov, V Mikhailets, K Pankrashkin Electronic J. Differential Equations, 1-16, 2013 | 46 | 2013 |
The Spectral Asymptotics of the Two-Dimensional Schrödinger Operator with a Strong Magnetic Field I J Bruening, S Dobrokhotov, K Pankrashkin Russian J. Math. Phys. 9 (2002) 14-49, 2002 | 43 | 2002 |
Eigenvalue inequalities and absence of threshold resonances for waveguide junctions K Pankrashkin Journal of Mathematical Analysis and Applications 449 (1), 907-925, 2017 | 41 | 2017 |
Tunneling between corners for Robin Laplacians B Helffer, K Pankrashkin Journal of the London Mathematical Society 91 (1), 225-248, 2015 | 39 | 2015 |
Strong coupling asymptotics for a singular Schrödinger operator with an interaction supported by an open arc P Exner, K Pankrashkin Communications in Partial Differential Equations 39 (2), 193-212, 2014 | 39 | 2014 |
Spectral and scattering theory for the Aharonov–Bohm operators K Pankrashkin, S Richard Reviews in Mathematical Physics 23 (01), 53-81, 2011 | 39 | 2011 |
Eigenvalues of Robin Laplacians in infinite sectors M Khalile, K Pankrashkin Mathematische Nachrichten 291, 928-965, 2018 | 38 | 2018 |
Quantum waveguides with small periodic perturbations: gaps and edges of Brillouin zones D Borisov, K Pankrashkin Journal of Physics A: Mathematical and Theoretical 46 (23), 235203, 2013 | 37 | 2013 |
One-dimensional Dirac operators with zero-range interactions: spectral, scattering, and topological results K Pankrashkin, S Richard Journal of Mathematical Physics 55 (6), 2014 | 36 | 2014 |
On the asymptotics of the principal eigenvalue for a Robin problem with a large parameter in planar domains K Pankrashkin Nanosystems: Physics, Chemistry, Mathematics 4 (4), 474-483, 2013 | 36* | 2013 |
Two-dimensional Dirac operators with singular interactions supported on closed curves J Behrndt, M Holzmann, T Ourmières-Bonafos, K Pankrashkin J. Funct. Anal. 279, 108700, 2020 | 35 | 2020 |
Localization effects in a periodic quantum graph with magnetic field and spin-orbit interaction K Pankrashkin Journal of mathematical physics 47 (11), 2006 | 32 | 2006 |
Unitary dimension reduction for a class of self-adjoint extensions with applications to graph-like structures K Pankrashkin Journal of Mathematical Analysis and Applications 396 (2), 640-655, 2012 | 30 | 2012 |