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An overview of periodic elliptic operators
The article surveys the main topics, techniques, and results of the theory of periodic
operators arising in mathematical physics and other areas. Close attention is paid to …
operators arising in mathematical physics and other areas. Close attention is paid to …
The mathematics of photonic crystals
7.1 Introduction A photonic crystal, or photonic band gap (PBG) optical material, is an
artificially created periodic low-loss dielectric medium in which electromagnetic waves of …
artificially created periodic low-loss dielectric medium in which electromagnetic waves of …
Production and identification of heavy Ni isotopes: evidence for the doubly magic nucleus 28 78 Ni
C Engelmann, F Ameil, P Armbruster, M Bernas… - Zeitschrift für Physik A …, 1995 - Springer
We report the first observation of the doubly magic nucleus 78 Ni 50 and the heavy isotopes
77 Ni, 73, 74, 75 Co, 80 Cu. The isotopes were produced by nuclear fission in collisions of …
77 Ni, 73, 74, 75 Co, 80 Cu. The isotopes were produced by nuclear fission in collisions of …
Irreducibility of the Bloch variety for finite-range Schrödinger operators
We study the Bloch variety of discrete Schrödinger operators associated with a complex
periodic potential and a general finite-range interaction, showing that the Bloch variety is …
periodic potential and a general finite-range interaction, showing that the Bloch variety is …
Algebraic properties of the Fermi variety for periodic graph operators
We present a method to estimate the number of irreducible components of the Fermi
varieties of periodic Schrödinger operators on graphs in terms of suitable asymptotics. Our …
varieties of periodic Schrödinger operators on graphs in terms of suitable asymptotics. Our …
Spectral properties of Schrödinger operators on perturbed lattices
We study the spectral properties of Schrödinger operators on perturbed lattices. We shall
prove the non-existence or the discreteness of embedded eigenvalues, the limiting …
prove the non-existence or the discreteness of embedded eigenvalues, the limiting …
Irreducibility of the Fermi variety for discrete periodic Schrödinger operators and embedded eigenvalues
Let H 0 be a discrete periodic Schrödinger operator on ℓ 2 (Z d): H 0=-Δ+ V, where Δ is the
discrete Laplacian and V: Z d→ C is periodic. We prove that for any d≥ 3, the Fermi variety …
discrete Laplacian and V: Z d→ C is periodic. We prove that for any d≥ 3, the Fermi variety …
Radiation conditions for the difference Schrödinger operators
The problem of determining a unique solution of the Schrödinger equation on the lattice is
considered, where Δ is the difference Laplacian and both f and q have finite supports. It is …
considered, where Δ is the difference Laplacian and both f and q have finite supports. It is …
Spectral and threshold analysis of a small rank perturbation of the discrete Laplacian
We consider a family of the discrete Schrödinger operators H λ μ, depending on two
parameters, in the d-dimensional lattice with a potential constructed via the delta function …
parameters, in the d-dimensional lattice with a potential constructed via the delta function …
Reducible Fermi surface for multi-layer quantum graphs including stacked graphene
We construct two types of multi-layer quantum graphs (Schrödinger operators on metric
graphs) for which the dispersion function of wave vector and energy is proved to be a …
graphs) for which the dispersion function of wave vector and energy is proved to be a …