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19932020
most citedEpitaxial Growth of a Silicene Sheet

1.4k citations

Showing 2015 · math-phShow all

11 papers · 2 filters

math-ph2015★ 2 cited

Crystalline conductance and absolutely continuous spectrum of 1D samples

Laurent Bruneau, Yoram Last, Vojkan Jaksic +1

We characterize the absolutely continuous spectrum of half-line one-dimensional Schrödinger operators in terms of the limiting behavior of the Crystaline Landauer-Büttiker conducta…

math-ph2015★ 38 cited

Lagrangian and Hamiltonian structures in an integrable hierarchy and space-time duality

Jean Avan, Vincent Caudrelier, Anastasia Doikou +1

We define and illustrate the novel notion of dual integrable hierarchies, on the example of the nonlinear Schrödinger (NLS) hierarchy. For each integrable nonlinear evolution equat…

math-ph2015★ 9 cited

Entropic fluctuations in Gaussian dynamical systems

Vojkan Jaksic, Claude-Alain Pillet, Armen Shirikyan

We study non-equilibrium statistical mechanics of a Gaussian dynamical system and compute in closed form the large deviation functionals describing the fluctuations of the entropy…

math-ph2015★ 12 cited

Slavnov and Gaudin-Korepin formulas for models without symmetry: the XXX chain on the segment

S. Belliard, R. A. Pimenta

We consider the isotropic spin Heisenberg chain with the most general integrable boundaries. The scalar product between the on-shell Bethe vector and its off-shell du…

math-ph2015★ 34 cited

Slavnov and Gaudin-Korepin Formulas for Models without Symmetry: the Twisted XXX Chain

Samuel Belliard, Rodrigo A. Pimenta

We consider the XXX spin- Heisenberg chain on the circle with an arbitrary twist. We characterize its spectral problem using the modified algebraic Bethe anstaz and st…

math-ph2015★ 78 cited

Modified algebraic Bethe ansatz for XXZ chain on the segment - III - Proof

J. Avan, S. Belliard, N. Grosjean +1

In this paper, we prove the off-shell equation satisfied by the transfer matrix associated with the XXZ spin- chain on the segment with two generic integrable boundaries a…

math-ph2015★ 16 cited

On Factorization of Molecular Wavefunctions

Thierry Jecko, Brian T. Sutcliffe, R. Guy Woolley

Recently there has been a renewed interest in the chemical physics literature of factorization of the position representation eigenfunctions \{\} of the molecular Schrödinger eq…

math-ph2015★ 43 cited

Matrix product formula for Macdonald polynomials

Luigi Cantini, Jan de Gier, Michael Wheeler

We derive a matrix product formula for symmetric Macdonald polynomials. Our results are obtained by constructing polynomial solutions of deformed Knizhnik--Zamolodchikov equations,…

math-ph2015★ 4 cited

Conductance and absolutely continuous spectrum of 1D samples

Laurent Bruneau, Vojkan Jakšić, Yoram Last +1

We characterize the absolutely continuous spectrum of the one-dimensional Schrödinger operators acting on in terms of the limiting behavior of the L…

math-ph2015★ 4 cited

Local inverse scattering at a fixed energy for radial Schr{ö}dinger operators and localization of the Regge poles

Thierry Daudé, Francois Nicoleau

We study inverse scattering problems at a fixed energy for radial Schrödinger operators on , . First, we consider the class of potentials which…

math-ph2015★ 11 cited

Nonequilibrium statistical mechanics of weakly stochastically perturbed system of oscillators

A. Dymov

We consider a finite region of a -dimensional lattice, , of weakly coupled harmonic oscillators. The coupling is provided by a nearest-neighbour potential (harmo…