Mathematics – Spectral Theory
Scientific paper
2011-10-11
Mathematics
Spectral Theory
19 pages
Scientific paper
We provide an abstract framework for singular one-dimensional Schroedinger operators with purely discrete spectra to show when the spectrum plus norming constants determine such an operator completely. As an example we apply our findings to prove a new uniqueness results for perturbed quantum mechanical harmonic oscillators. In addition, we also show how to establish a Hochstadt-Liebermann type result for these operators. Our approach is based on the singular Weyl-Titchmarsh theory which is extended to cover the present situation.
Eckhardt Jonathan
Teschl Gerald
No associations
LandOfFree
Uniqueness Results for Schroedinger Operators on the Line with Purely Discrete Spectra 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 Uniqueness Results for Schroedinger Operators on the Line with Purely Discrete Spectra, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Uniqueness Results for Schroedinger Operators on the Line with Purely Discrete Spectra will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-472466