46 citations · 568 across the 83 of their papers we have counts for
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Equidistant versus bipartite ground states for 1D classical fluids at fixed particle density
Laurent Bétermin, Ladislav Šamaj, Igor Travěnec
We study the ground-state properties of one-dimensional fluids of classical (i.e., non-quantum) particles interacting pairwisely via a potential, at the fixed particle density .…
Structural transitions in interacting lattice systems
Laurent Bétermin, Ladislav Šamaj, Igor Travěnec
We consider two-dimensional systems of point particles located on rectangular lattices and interacting via pairwise potentials. The goal of this paper is to investigate the phase t…
Three-dimensional lattice ground states for Riesz and Lennard-Jones type energies
Laurent Bétermin, Ladislav Šamaj, Igor Travěnec
The Riesz potential is known to be an important building block of many interactions, including Lennard-Jones type potentials $f_{n,m}^{\rm{LJ}}(r):=a r^{-n}-b r^{-m…
Universal behavior of quantum Green's functions
L. Samaj, J. K. Percus, P. Kalinay
We consider a general one-particle Hamiltonian H = - Δ_r + u(r) defined in a d-dimensional domain. The object of interest is the time-independent Green function G_z(r,r') = < r | (…