Convergence of Schrodinger operators

Details Convergence of Schrodinger operators Convergence of Schrodinger operators

2005-11-08

arxiv.org/abs/math-ph/0511029v2

Physics

Mathematical Physics

20 pages, 2 eps figures, rewritten, added 2 references and numerical calculations

Scientific paper

For a large family of real-valued Radon measures m on R^d, including the Kato class, the operators -\Delta + C^2 \Delta^2 + m tend to the Schrodinger operator -\Delta +m in the norm resolvent sense as C tends to zero. If the measure is moreover finite and the dimension smaller than four, the former operator can be approximated by a sequence of operators with point measures in the norm resolvent sense. The combination of both convergence results leads to an efficient method for the numerical computation of the eigenvalues in the discrete spectrum and corresponding eigenfunctions of Schrodinger operators. We illustrate the approximation by numerical calculations of eigenvalues for one simple example of measure m.

Affiliated with

Also associated with

No associations

Rating

Convergence of Schrodinger 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 Convergence of Schrodinger operators, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Convergence of Schrodinger operators will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-294043