155 citations · 535 across the 28 of their papers we have counts for
28 papers
Spectral Continuity for Aperiodic Quantum Systems II. Periodic Approximations in 1D
Siegfried Beckus, Jean Bellissard, Giuseppe De Nittis
The existence and construction of periodic approximations with convergent spectra is crucial in solid state physics for the spectral study of corresponding Schrödinger operators. I…
Spectral Continuity for Aperiodic Quantum Systems I. General Theory
Siegfried Beckus, Jean Bellissard, Giuseppe De Nittis
How does the spectrum of a Schrödinger operator vary if the corresponding geometry and dynamics change? Is it possible to define approximations of the spectrum of such operators by…
Anankeon theory and viscosity of liquids: a toy model
Jean V. Bellissard
A simplistic model, based on the concept of anankeon, is proposed to predict the value of the viscosity of a material in its liquid phase. As a result, within the simplifications a…
Comment on "Hamiltonian for the Zeros of the Riemann Zeta Function"
Jean V. Bellissard
This comment about the article "Hamiltonian for the Zeros of the Riemann Zeta Function", by C. M. Bender, D. C. Brody, and M. P. Müller, published recently in Phys. Rev. Lett. (Phy…
Mapping the Current-Current Correlation Function Near a Quantum Critical Point
Emil Prodan, Jean Bellissard
The current-current correlation function is a useful concept in the theory of electron transport in homogeneous solids. The finite-temperature conductivity tensor as well as Anders…
Continuity of the spectrum of a field of self-adjoint operators
Siegfried Beckus, Jean Bellissard
Given a family of self-adjoint operators indexed by a parameter in some topological space , necessary and sufficient conditions are given for the spectrum $…