1 citations · 1 across the 14 of their papers we have counts for
14 papers
On the discrete spectrum of Dirac operators with Lorentz-scalar -shell interactions supported on unbounded curves
Markus Holzmann, Vladimir Lotoreichik, Marco Vogel
We consider the massive Dirac operator (with positive mass) in the plane with an attractive Lorentz-scalar -shell interaction of strength suppor…
Nonperturbative computation of thermal conductivity based on Path Integral Monte Carlo methods
Vladislav Efremkin, Stefano Mossa, Jean-Louis Barrat +1
The calculation of thermal conductivity in insulating solids at temperatures below the Debye temperature is problematic, due to the breakdown of classical and semi-classical approa…
Weak coupling for Schrödinger operators with complex potentials
Jussi Behrndt, Markus Holzmann, Petr Siegl +1
We study the discrete eigenvalues emerging from the threshold of the essential spectrum of one or two-dimensional Schrödinger operators with complex-valued -potentials in a…
Approximation of Dirac operators with -shell potentials in the norm resolvent sense, II. Quantitative results
Jussi Behrndt, Markus Holzmann, Christian Stelzer-Landauer
This paper is devoted to the approximation of two and three-dimensional Dirac operators with combinations of electrostatic and Lorentz scalar -shell inte…
Approximation of magnetic Schrödinger operators with -interactions supported on networks
Markus Holzmann
This paper deals with the approximation of a magnetic Schrödinger operator with a singular -potential that is formally given by by Schrödinger oper…
Generalized boundary triples for adjoint pairs with applications to non-self-adjoint Schrödinger operators
Antonio Arnal, Jussi Behrndt, Markus Holzmann +1
We extend the notion of generalized boundary triples and their Weyl functions from extension theory of symmetric operators to adjoint pairs of operators, and we provide criteria on…
On Spectral Properties of Restricted Fractional Laplacians with Self-adjoint Boundary Conditions on a Finite Interval
Jussi Behrndt, Markus Holzmann, Delio Mugnolo
We describe all self-adjoint realizations of the restricted fractional Laplacian with power on a bounded interval by imposing boundary conditions…
Neural Wave Functions for High-Pressure Atomic Hydrogen
David Linteau, Saverio Moroni, Giuseppe Carleo +1
We leverage the power of neural quantum states to describe the ground state wave function of solid and liquid atomic hydrogen, including both electronic and protonic degrees of fre…
Non-self-adjoint Dirac operators on graphs
Markus Holzmann, Václav Růžek, Matěj Tušek
In this paper we introduce and study generally non-self-adjoint realizations of the Dirac operator on an arbitrary finite metric graph. Employing the robust boundary triple framewo…
Two-dimensional Schrödinger operators with non-local singular potentials
Lukáš Heriban, Markus Holzmann, Christian Stelzer-Landauer +2
In this paper we introduce and study a family of self-adjoint realizations of the Laplacian in with a new type of transmission conditions along a closed bi-Lips…
Nonrelativistic Limit of Generalized MIT Bag Models and Spectral Inequalities
Jussi Behrndt, Dale Frymark, Markus Holzmann +1
For a family of self-adjoint Dirac operators subject to generalized MIT bag boundary conditions on domains in it is shown that…
On two-dimensional Dirac operators with -shell interactions supported on unbounded curves with straight ends
Jussi Behrndt, Pavel Exner, Markus Holzmann +1
In this paper we study the self-adjointness and spectral properties of two-dimensional Dirac operators with electrostatic, Lorentz scalar, and anomalous magnetic -shell interact…
Approximation of Dirac operators with -shell potentials in the norm resolvent sense, I. Qualitative results
Jussi Behrndt, Markus Holzmann, Christian Stelzer
In this paper the approximation of Dirac operators with general -shell potentials supported on -curves in or -surfaces in , which may be b…
Spectral analysis of the Dirac operator with a singular interaction on a broken line
Dale Frymark, Markus Holzmann, Vladimir Lotoreichik
We consider the one-parametric family of self-adjoint realizations of the two-dimensional massive Dirac operator with a Lorentz scalar -shell interaction of strength $τ\in\mathb…