Work

Note on 2D Schrödinger operators with delta-interactions on angles and crossing lines

Year: 2013

Type: preprint

Abstract: In this note we sharpen the lower bound from [LLP10] on the spectrum of the 2D Schroedinger operator with a delta-interaction supported on a planar angle. Using the same method we obtain the lower bound on the spectrum of the 2D Schroedinger operator with a delta-interaction supported on crossing straight lines. The latter operators arise in the three-body quantum problem with delta-interactions between particles.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1303.6095

Author: Lotoreichik, Vladimir

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4394667494

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Related to: 10