The Spectrum of Magnetic Schrödinger Operators on a Graph with Periodic Structure

Locating the Spectrum for Magnetic Dirac and Schrödinger Operators

the structure of lie derivations on c*-algebras

نشان می دهیم که هر اشتقاق لی روی یک c^*-جبر به شکل استاندارد است، یعنی می تواند به طور یکتا به مجموع یک اشتقاق لی و یک اثر مرکز مقدار تجزیه شود. کلمات کلیدی: اشتقاق، اشتقاق لی، c^*-جبر.

Institute for Mathematical Physics on the Essential Spectrum of Two Dimensional Periodic Magnetic Schrr Odinger Operators on the Essential Spectrum of Two Dimensional Periodic Magnetic Schrr Odinger Operators

For two dimensional Schrr odinger operators with a nonzero constant magnetic eld perturbed by an innnite number of periodically disposed, long range magnetic and electric wells, it is proven that when the inter-well distance (R) grows to innnity, the essential spectrum near the eigenvalues of the \one well Hamiltonian" is located in mini-bands whose width shrink faster than any exponential with...

Positive Measure Spectrum for Schrödinger Operators with Periodic Magnetic Fields

We study Schrödinger operators with periodic magnetic field in R2, in the case of irrational magnetic flux. Positive measure Cantor spectrum is generically expected in the presence of an electric potential. We show that, even without electric potential, the spectrum has positive measure if the magnetic field is a perturbation of a constant one. Introduction Magnetic Schrödinger operators have b...

On the Spectrum of Periodic Elliptic Operators

It was observed in [Su5] that the spectrum of a periodic Schrodinger operator on a Riemannian manifold has band structure if the transformation group acting on the manifold satisfies the Kadison property (see below for the definition). Here band structure means that the spectrum is a union of mutually disjoint, possibly degenerate closed intervals, such that any compact subset of R meets only f...