200 citations · 471 across the 13 of their papers we have counts for
13 papers
Families of isospectral and isoscattering quantum graphs
Pavel Kurasov, Omer Farooq, Michał Ławniczak +4
A concept of germ graphs and the M-function formalism are employed to construct large families of isospectral and isoscattering graphs. This approach represents a complete departur…
Cospectral trees indistinguishable by scattering
Mats-Erik Pistol, Vyacheslav Pivovarchik
Let v_1 and v_2 be two distinct vertices of a tree T_0. Let ϕ_N^{(i)} (i=1,2) be the characteristic functions of the Sturm-Liouville problem on T_0 rooted at v_i with Neumann condi…
Spectrally grown graphs
Mats-Erik Pistol, Pavel Kurasov
Quantum graphs have attracted attention from mathematicians for some time. A quantum graph is defined by having a Laplacian on each edge of a metric graph and imposing boundary con…
Generating isospectral but not isomorphic quantum graphs
Mats-Erik Pistol
Quantum graphs are defined by having a Laplacian defined on the edges of a metric graph with boundary conditions on each vertex such that the resulting operator, , is s…
Single-nanowire, low-bandgap hot carrier solar cells with tunable open-circuit voltage
Steven Limpert, Adam Burke, I-Ju Chen +8
Compared to traditional pn-junction photovoltaics, hot carrier solar cells offer potentially higher efficiency by extracting work from the kinetic energy of photogenerated "hot car…
Atomistic theory
Craig Pryor, Mats-Erik Pistol
Pseudopotentials, tight-binding models, and theory have stood for many years as the standard techniques for computing electronic states in crystalline solids. Here we pr…