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A regular analogue of the Smilansky model: Spectral properties

  • Published:2017-10 Issue:2 Volume:80 Page:177-192
  • ISSN:0034-4877
  • Container-title:Reports on Mathematical Physics
  • language:en
  • Short-container-title:Reports on Mathematical Physics

Author:

Barseghyan Diana,Exner Pavel

Publisher

Elsevier BV

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference17 articles.

1. Solvable Models in Quantum Mechanics, Second edition, with an appendix by P. Exner;Albeverio,2005

2. Regular approximations of singular Sturm-Liouville problems;Bailey;Results in Mathematics,1993

3. A regular version of Smilansky model;Barseghyan;J. Math. Phys.,2014

4. Spectral analysis of a class of Schrödinger operators exhibiting a parameter-dependent spectral transition;Barseghyan;J. Phys. A: Math. Theor.,2016

5. Smilansky's model of irreversible quantum graphs: I. The absolutely continuous spectrum, II. The point spectrum;Evans;J. Phys. A: Math. Theor.,2005

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1. Spectral Transition Model with the General Contact Interaction;From Complex Analysis to Operator Theory: A Panorama;2023

2. The Kronig–Penney model in a quadratic channel with δ interactions: II. Scattering approach;Journal of Physics A: Mathematical and Theoretical;2022-10-21

3. A Kronig–Penney model in a quadratic channel with periodic δ-interactions: I. Dynamics;Journal of Physics A: Mathematical and Theoretical;2022-10-21

4. Schrödinger Operators with a Switching Effect;Mathematical Modelling, Optimization, Analytic and Numerical Solutions;2020

5. A magnetic version of the Smilansky–Solomyak model;Journal of Physics A: Mathematical and Theoretical;2017-11-08
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