On the distribution of perturbations of propagated Schrödinger eigenfunctions

DOI10.4171/JST/70zbMath1296.35102arXiv1210.4499MaRDI QIDQ402282

Dmitry Jakobson, Yaiza Canzani, John A. Toth

Publication date: 27 August 2014

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.4499

zbMATH Keywords

Schrödinger operatorseigenfunctionsLoschmidt echoconformal deformationscompact Riemmanian manifoldrandom wave conjecture

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Perturbation theories for operators and differential equations in quantum theory (81Q15) Pseudodifferential and Fourier integral operators on manifolds (58J40) Perturbations of PDEs on manifolds; asymptotics (58J37) Relations between spectral theory and ergodic theory, e.g., quantum unique ergodicity (58J51) PDEs on manifolds (35R01)

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