Magnetic barriers of compact support and eigenvalues in spectral gaps
| dc.contributor.author | Hempel, Rainer | |
| dc.contributor.author | Besch, Alexander | |
| dc.date.accessioned | 2020-11-23T18:52:09Z | |
| dc.date.available | 2020-11-23T18:52:09Z | |
| dc.date.issued | 2003-04-24 | |
| dc.description.abstract | We consider Schrödinger operators H = -Δ + V in L2(ℝ2) with a spectral gap, perturbed by a strong magnetic field B of compact support. We assume here that the support of B is connected and has a connected complement; the total magnetic flux may be zero or non-zero. For a fixed point in the gap, we show that (for a sequence of couplings tending to ∞) the signed spectral flow across E for the magnetic perturbation is equal to the flow of eigenvalues produced by a high potential barrier on the support of the magnetic field. This allows us to use various estimates that are available for the high barrier case. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 25 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Hempel, R., & Besch, A. (2003). Magnetic barriers of compact support and eigenvalues in spectral gaps. <i>Electronic Journal of Differential Equations, 2003</i>(48), pp. 1-25. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/12988 | |
| dc.language.iso | en | |
| dc.publisher | Southwest Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2003, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Schrodinger operator | |
| dc.subject | magnetic field | |
| dc.subject | eigenvalues | |
| dc.subject | spectral gaps | |
| dc.subject | strong coupling | |
| dc.title | Magnetic barriers of compact support and eigenvalues in spectral gaps | |
| dc.type | Article |