On the number of states bound by one-dimensional finite periodic potentials

DOI10.1063/1.531083zbMath0822.34076OpenAlexW2027218954MaRDI QIDQ4836940

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Publication date: 21 June 1995

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.531083

zbMATH Keywords

bound stateszero-energy resonancesone-dimensional finite periodic potentialstime delay at threshold

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Technical applications of optics and electromagnetic theory (78A55) Statistical mechanics of solids (82D20)

Related Items (7)

Scattering in one dimension: The coupled Schrödinger equation, threshold behaviour and Levinson’s theorem ⋮ SCATTERING THEORY APPROACH TO RANDOM SCHRÖDINGER OPERATORS IN ONE DIMENSION ⋮ Stokes reciprocity equations and density of modes for absorbing stratified media ⋮ Comment on “Factorization of scattering matrices due to partitioning of potentials in one-dimensional Schrödinger-type equations” [J. Math. Phys. 37, 5897 (1996)] ⋮ The generalized star product and the factorization of scattering matrices on graphs ⋮ A single-mode quantum transport in serial-structure geometric scatterers ⋮ On the number of bound states for the one-dimensional Schrödinger equation

Cites Work

• A factorization of the scattering matrix for the Schrödinger equation and for the wave equation in one dimension
• Inverse scattering on the line
• Levinson’s theorem, zero-energy resonances, and time delay in one-dimensional scattering systems

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