99-315 H. D. Cornean

On the essential spectrum of two dimensional periodic magnetic Schroedinger operators (397K, postscript) Aug 28, 99

Abstract , Paper (src), View paper (auto. generated ps), Index of related papers

Abstract. For two dimensional Schr\"{o}dinger operators with a nonzero magnetic field perturbed by an infinite number of periodically disposed, long range magnetic and electric wells, it is proven that when the inter-well distance ($R$) goes to infinity, the essential spectrum near the eigenvalues of the "one well Hamiltonian" is located in mini-bands whose width is shrinking faster than any exponential with $R$. This should be compared with our previous result [4], which stated that in the case of compactly supported wells, the mini-bands shrink Gaussian like with $R$.

Files: 99-315.src( 99-315.keywords , lmpf.ps )