18 citations · 32 across the 6 of their papers we have counts for
7 papers
On the nodal structure of nonlinear stationary waves on star graphs
Ram Band, Sven Gnutzmann, August J. Krueger
We consider stationary waves on nonlinear quantum star graphs, i.e. solutions to the stationary (cubic) nonlinear Schrödinger equation on a metric star graph with Kirchhoff matchin…
Polar Coordinates and Noncommutative Phase Space
August J. Krueger
The so-called Weyl transform is a linear map from a commutative algebra of functions to a noncommutative algebra of linear operators, characterized by an action on Cartesian coordi…
Nonlinear Sturm Oscillation: from the interval to a star
Ram Band, August J. Krueger
The Sturm oscillation property, i.e. that the -th eigenfunction of a Sturm-Liouville operator on an interval has zeros (nodes), has been well studied. This result is know…
Dynamics of Noncommutative Solitons II: Spectral Theory, Dispersive Estimates and Stability
August J. Krueger, Avy Soffer
We consider the Schrödinger equation with a (matrix) Hamiltonian given by a second order difference operator with nonconstant growing coefficients, on the half one dimensional latt…
Structure of Noncommutative Solitons: Existence and Spectral Theory
August J. Krueger, Avy Soffer
We consider the Schrödinger equation with a Hamiltonian given by a second order difference operator with nonconstant growing coefficients, on the half one dimensional lattice. This…
Dynamics of Noncommutative Solitons I: Spectral Theory and Dispersive Estimates
August J. Krueger, Avy Soffer
We consider the Schrödinger equation with a Hamiltonian given by a second order difference operator with nonconstant growing coefficients, on the half one dimensional lattice. This…
Autoionizing Resonances in Time-Dependent Density Functional Theory
August J. Krueger, Neepa T. Maitra
Autoionizing resonances that arise from the interaction of a bound single-excitation with the continuum can be accurately captured with the presently used approximations in time-de…