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Spectral asymptotics of a broken delta interaction

Analysis of PDEs 2021-10-01 v2 Mathematical Physics math.MP Spectral Theory

Abstract

This paper is concerned with the spectral analysis of a Hamiltonian with a δ\delta-interaction supported along a broken line with angle θ\theta. The bound states with energy slightly below the threshold of the essential spectrum are estimated in the semiclassical regime θ0\theta\to 0.

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Cite

@article{arxiv.1312.5947,
  title  = {Spectral asymptotics of a broken delta interaction},
  author = {Vincent Duchene and Nicolas Raymond},
  journal= {arXiv preprint arXiv:1312.5947},
  year   = {2021}
}

Comments

20 pages