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

نویسنده

  • H. D. Cornean
چکیده

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 R. This should be compared with our previous result 5], which stated that in the case of compactly supported wells, the mini-bands shrink Gaussian like with R.

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تاریخ انتشار 2009