The Peierls–Onsager effective Hamiltonian in a complete gauge covariant setting: determining the spectrum
Viorel Iftimie
Romanian Academy, Bucharest, RomaniaRadu Purice
Romanian Academy, Bucharest, Romania
![The Peierls–Onsager effective Hamiltonian in a complete gauge covariant setting: determining the spectrum cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-jst-volume-5-issue-3.png&w=3840&q=90)
Abstract
Using the procedures in [4] and [8] and the magnetic pseudodierential calculus we have developped in [17, 19, 12, 13] we construct an effective Hamiltonian that describes the spectrum in any compact subset of the real axis for a large class of periodic pseudodifferential Hamiltonians in a bounded smooth magnetic field, in a completely gauge covariant setting, without any restrictions on the vector potential and without any adiabaticity hypothesis.
Cite this article
Viorel Iftimie, Radu Purice, The Peierls–Onsager effective Hamiltonian in a complete gauge covariant setting: determining the spectrum. J. Spectr. Theory 5 (2015), no. 3, pp. 445–531
DOI 10.4171/JST/104