A pair of non-isometric potentials with the same semiclassical invariants

DOI10.1063/5.0153969arXiv2303.01025OpenAlexW4388827810MaRDI QIDQ6064808

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Publication date: 11 December 2023

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

Full work available at URL: https://arxiv.org/abs/2303.01025

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Inverse problems for PDEs (35R30) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

Cites Work

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• Semiclassical analysis of low lying eigenvalues. II: Tunneling
• Inverse spectral problems for Schrödinger operators
• Spectral uniqueness of radial semiclassical Schrödinger operators
• Some inverse spectral results for semi-classical Schrödinger operators
• Bohr-Sommerfeld rules to all orders
• A Fulling–Kuchment theorem for the 1D harmonic oscillator
• A semi-classical inverse problem II: reconstruction of the potential
• Coincidence of length spectra does not imply isospectrality

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