Semiclassical reduction for magnetic Schroedinger operator with periodic zero-range potentials and applications

Details Semiclassical reduction for magnetic Schroedinger operator with periodic zero-range potentials and applications Semiclassical reduction for magnetic Schroedinger operator with periodic zero-range potentials and applications

2008-02-11

arxiv.org/abs/0802.1414v2

Asymptotic Analysis 63 (2009) 1-27

Physics

Mathematical Physics

31 pages, minor revision (typos corrected, references updated), accepted in Asymptotic Analysis

Scientific paper

10.3233/ASY-2008-0923

The two-dimensional Schroedinger operator with a uniform magnetic field and a
periodic zero-range potential is considered. For weak magnetic fields we reduce
the spectral problem to the semiclassical analysis of one-dimensional
Harper-like operators. This shows the existence of parts of Cantor structure in
the spectrum for special values of the magnetic flux.

Affiliated with

Also associated with

No associations

Rating

Semiclassical reduction for magnetic Schroedinger operator with periodic zero-range potentials and applications does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Semiclassical reduction for magnetic Schroedinger operator with periodic zero-range potentials and applications, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Semiclassical reduction for magnetic Schroedinger operator with periodic zero-range potentials and applications will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-625046