Boundary-value problems for the Schrödinger equation with rapidly oscillating and delta-liked potentials

DOI10.1134/S000143461511022XzbMath1338.34058MaRDI QIDQ268104

T. R. Gadyl'shin

Publication date: 14 April 2016

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

boundary-value problemSchrödinger equation1-periodic functiondelta-liked potentialhomogenization methodmatching methodrapidly oscillating potential

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Singular perturbations for ordinary differential equations (34E15) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (1)

Perturbation of second order nonlinear equation by delta-like potential

Cites Work

• Eigenoscillations of a string with an additional mass
• Sturm-Liouville operators with singular potentials
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