195 citations · 1.2k across the 66 of their papers we have counts for
66 papers
Congruence of Dirac operators with applications to generalized MIT bag models
Joaquim Duran, Konstantin Pankrashkin
We highlight a simple congruence transform that shifts coupling parameters for Dirac operators with shell interactions. As one of the consequences, this leads to new observations c…
On the self-adjointness of two-dimensional relativistic shell interactions
Badredine Benhellal, Konstantin Pankrashkin, Mahdi Zreik
We study the self-adjointness of the two-dimensional Dirac operator coupled with electrostatic and Lorentz scalar shell interactions of constant strength and supp…
Embedded trace operator for infinite metric trees
Valentina Franceschi, Kiyan Naderi, Konstantin Pankrashkin
We consider a class of infinite weighted metric trees obtained as perturbations of self-similar regular trees. Possible definitions of the boundary traces of functions in the Sobol…
Curvature contribution to the essential spectrum of Dirac operators with critical shell interactions
Badreddine Benhellal, Konstantin Pankrashkin
We discuss the spectral properties of three-dimensional Dirac operators with critical combinations of electrostatic and Lorentz scalar shell interactions supported by a compact smo…
On Schrödinger operators with -potentials supported on star graphs
Konstantin Pankrashkin, Marco Vogel
The spectral properties of two-dimensional Schrödinger operators with -potentials supported on star graphs are discussed. We describe the essential spectrum and give a complete…
Asymptotics of Robin eigenvalues on sharp infinite cones
Konstantin Pankrashkin, Marco Vogel
Let be a bounded domain with Lipschitz boundary. For and consider the infinite cone $Ω_{\varepsilon}:=\big\{(x_1,x')\in (0,\…