Inverse spectral problem for the Schrödinger equation with periodic vector potential

DOI10.1007/BF01217909zbMath0697.35168OpenAlexW1996903439MaRDI QIDQ910979

Gregory Eskin

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1007/bf01217909

zbMATH Keywords

periodic spectrumFloquet spectrum

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Inverse problems for PDEs (35R30) Schrödinger operator, Schrödinger equation (35J10)

Related Items (10)

Topics on Fermi varieties of discrete periodic Schrödinger operators ⋮ Uniqueness and stability results for an inverse spectral problem in a periodic waveguide ⋮ Floquet isospectrality for periodic graph operators ⋮ Fermi isospectrality for discrete periodic Schrödinger operators ⋮ Fermi isospectrality of discrete periodic Schrödinger operators with separable potentials on \(\mathbb{Z}^2\) ⋮ Numerical reconstruction of the first band(s) in an inverse Hill’s problem ⋮ Inverse Spectral Results on Two-Dimensional Tori ⋮ Inverse spectral results on even dimensional tori ⋮ An overview of periodic elliptic operators ⋮ Gauge equivalence and the inverse spectral problem for the magnetic Schrödinger operator on the torus

Cites Work

• Unnamed Item
• Clustering theorems with twisted spectra
• On isospectral periodic potentials in Rn
• On isospectral periodic potentials in Rn. II
• HANS BETHE'S CONTRIBUTIONS TO SOLID-STATE PHYSICS

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