Eigenvalue bounds for two-dimensional magnetic Schroedinger operators

Details Eigenvalue bounds for two-dimensional magnetic Schroedinger operators Eigenvalue bounds for two-dimensional magnetic Schroedinger operators

2011-03-27

arxiv.org/abs/1103.5194v1

Mathematics

Spectral Theory

Scientific paper

10.4171/JST/16

We prove that the number of negative eigenvalues of two-dimensional magnetic Schroedinger operators is bounded from above by the strength of the corresponding electric potential. Such estimates fail in the absence of a magnetic field. We also show how the corresponding upper bounds depend on the properties of the magnetic field and discuss their connection with Hardy-type inequalities.

Affiliated with

Also associated with

No associations

Rating

Eigenvalue bounds for two-dimensional magnetic Schroedinger operators 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 Eigenvalue bounds for two-dimensional magnetic Schroedinger operators, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Eigenvalue bounds for two-dimensional magnetic Schroedinger operators will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-94740