One-dimensional Schrödinger operators with general point interactions

Authors

  • L. P. Nizhnik Institute of Mathematics, TU Clausthal, Clausthal, Germany
  • J. F. Brasche Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereshchenkivs'ka, Kyiv, 01601, Ukraine 

DOI:

Keywords:

1D Schrödinger operator, point interaction, negative eigenvalues, resolvent approximation

Abstract

We consider various forms of boundary-value conditions for general one-dimensional Schrödinger operators with point interactions that include $\delta$-- and $\delta'$-- interactions, $\delta'$-- potential, and $\delta$-- magnetic potential. We give most simple spectral properties of such operators, and consider a possibility of finding their norm resolvent approximations.

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Published

2013-03-25

Issue

Vol. 19 No. 1 (2013)

Section

Articles

How to Cite

Nizhnik, L. P., and J. F. Brasche. “One-Dimensional Schrödinger Operators With General Point Interactions”. Methods of Functional Analysis and Topology, vol. 19, no. 1, Mar. 2013, pp. 4-15, https://zen.imath.kiev.ua/index.php/mfat/article/view/531.