Magnetic Schrödinger operator on the flat Möbius strip
摘要
The spectral problem for the Schrödinger operator with a magnetic field (the Landau operator) on the flat Möbius strip is considered. The model of the flat Möbius strip is based on gluing the rectangles. The spectrum and eigenfunctions for the model operator are described. The results are compared with the flat cylinder case. “Surgery” of the flat Möbius strip (by longitudinal cutting) is discussed.