2014/03/16 by Jonathan Ben‐Artzi, Ben-Artzi, Jonathan, Thomas Holding +1
Computer Science · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Mathematics #Functional Analysis (math.FA) #Matrix Theory and Algorithms #Quantum and electron transport phenomena #Quantum chaos and dynamical systems #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics
paper · pdf · doi:10.48550/arxiv.1403.3963
openalex publication_date 2014/03/16 · openalex created_date 2022/10/07 · openalex updated_date 2026/07/28
The problem of approximating the discrete spectra of families of self-adjoint\noperators that are merely strongly continuous is addressed. It is well-known\nthat the spectrum need not vary continuously (as a set) under strong\nperturbations. However, it is shown that under an additional compactness\nassumption the spectrum does vary continuously, and a family of symmetric\nfinite-dimensional approximations is constructed. An important feature of these\napproximations is that they are valid for the entire family uniformly. An\napplication of this result to the study of plasma instabilities is illustrated.\n