Exponential decay of eigenfunctions of first order systems

2007/01/10 by D. R. Yafaev, Yafaev, D. R.
Computer Science · Mathematics · Physics and Astronomy · #FOS: Mathematics #Functional Analysis (math.FA) #Nonlinear Dynamics and Pattern Formation #Quantum chaos and dynamical systems #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.math/0701303

openalex publication_date 2007/01/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For first order systems, we obtain an efficient bound on the exponential decay of an eigenfunction in terms of the distance between the corresponding eigenvalue and the essential spectrum. As an example, the Dirac operator is considered.

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