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

Journal Article · Sun Sep 15 00:00:00 EDT 2013 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.4821832· OSTI ID:22217996

Kondej, Sylwia ^[1]

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1. Institute of Physics, University of Zielona Góra, ul. Szafrana 4a, 65246 Zielona Góra (Poland)

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.

• OSTI ID: 22217996
• Journal Information: Journal of Mathematical Physics, Vol. 54, Issue 9; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ASYMPTOTIC SOLUTIONS
EIGENFUNCTIONS
EIGENVALUES
HAMILTONIANS
INTERACTIONS
POTENTIALS
SCHROEDINGER EQUATION