155 citations · 535 across the 28 of their papers we have counts for
4 papers · 1 filter
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…
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 $…
If they are limit periodic?
J. Bellissard, J. Geronimo, A. Volberg +1
We prove a partial result concerning the long-standing problem on limit periodicity of the Jacobi matrix associated with the balanced measure on the Julia set of an expending polyn…