Details
| Original language | English |
|---|---|
| Pages (from-to) | 1584-1595 |
| Number of pages | 12 |
| Journal | Journal of mathematical physics |
| Volume | 44 |
| Issue number | 4 |
| Publication status | Published - 1 Apr 2003 |
| Externally published | Yes |
Abstract
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.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics
- Mathematics(all)
- Mathematical Physics
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In: Journal of mathematical physics, Vol. 44, No. 4, 01.04.2003, p. 1584-1595.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Positive measure spectrum for Schrödinger operators with periodic magnetic fields
AU - Gruber, Michael J.
PY - 2003/4/1
Y1 - 2003/4/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0037396270&partnerID=8YFLogxK
U2 - 10.1063/1.1556551
DO - 10.1063/1.1556551
M3 - Article
AN - SCOPUS:0037396270
VL - 44
SP - 1584
EP - 1595
JO - Journal of mathematical physics
JF - Journal of mathematical physics
SN - 0022-2488
IS - 4
ER -