English

1-D Schr\"odinger operators with local point interactions: a review

Mathematical Physics 2013-07-09 v1 Classical Analysis and ODEs math.MP Spectral Theory

Abstract

We review recent developments in the theory of 1-D Schr\"odinger operators with local point interactions on a discrete set. The progress in this area was stimulated by recent advances in the extension theory of symmetric operators and in the theory of ordinary differential operators with distributional coefficients.

Keywords

Cite

@article{arxiv.1303.4055,
  title  = {1-D Schr\"odinger operators with local point interactions: a review},
  author = {Aleksey Kostenko and Mark Malamud},
  journal= {arXiv preprint arXiv:1303.4055},
  year   = {2013}
}

Comments

27 pp

R2 v1 2026-06-21T23:43:18.735Z