Aarhus University Seal / Aarhus Universitets segl

On the energy of bound states for magnetic Schrödinger operators

Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

  • Department of Mathematical Sciences
We provide a leading order semiclassical asymptotics of the energy of bound states for magnetic Neumann Schrödinger operators in two-dimensional (exterior) domains with smooth boundaries. The asymptotics is valid all the way up to the bottom of the essential spectrum. When the spectral parameter is varied near the value where bound states become allowed in the interior of the domain, we show that the energy has a boundary and a bulk component. The estimates rely on coherent states, in particular on the construction of ‘boundary coherent states’, and magnetic Lieb–Thirring estimates.
Original languageEnglish
JournalJournal of the London Mathematical Society
Volume80
Pages (from-to)233-255
Number of pages23
ISSN0024-6107
DOIs
Publication statusPublished - 2009

See relations at Aarhus University Citationformats

ID: 14374403