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Title: Schrödinger operator with a strong varying interaction on a curve in R{sup 2}

Abstract

In this paper, we study a two-dimensional quantum system governed by the Hamiltonian corresponding to the formal expression −Δ−(α+ω(·))δ(·−Γ), where α > 0, ω(·) is a continuous compactly supported function and Γ is a curve in R{sup 2}. We derive the asymptotics of eigenvalues for α→∞ and analyze consequences of introducing varying delta potential.

Authors:
 [1]
  1. Institute of Physics, University of Zielona Góra, ul. Szafrana 4a, 65246 Zielona Góra (Poland)
Publication Date:
OSTI Identifier:
22217996
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 54; Journal Issue: 9; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ASYMPTOTIC SOLUTIONS; EIGENFUNCTIONS; EIGENVALUES; HAMILTONIANS; INTERACTIONS; POTENTIALS; SCHROEDINGER EQUATION

Citation Formats

Kondej, Sylwia. Schrödinger operator with a strong varying interaction on a curve in R{sup 2}. United States: N. p., 2013. Web. doi:10.1063/1.4821832.
Kondej, Sylwia. Schrödinger operator with a strong varying interaction on a curve in R{sup 2}. United States. doi:10.1063/1.4821832.
Kondej, Sylwia. Sun . "Schrödinger operator with a strong varying interaction on a curve in R{sup 2}". United States. doi:10.1063/1.4821832.
@article{osti_22217996,
title = {Schrödinger operator with a strong varying interaction on a curve in R{sup 2}},
author = {Kondej, Sylwia},
abstractNote = {In this paper, we study a two-dimensional quantum system governed by the Hamiltonian corresponding to the formal expression −Δ−(α+ω(·))δ(·−Γ), where α > 0, ω(·) is a continuous compactly supported function and Γ is a curve in R{sup 2}. We derive the asymptotics of eigenvalues for α→∞ and analyze consequences of introducing varying delta potential.},
doi = {10.1063/1.4821832},
journal = {Journal of Mathematical Physics},
number = 9,
volume = 54,
place = {United States},
year = {Sun Sep 15 00:00:00 EDT 2013},
month = {Sun Sep 15 00:00:00 EDT 2013}
}
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