2007/02/14 by Vladimir Maz’ya, Vladimir Maz'ya, Maz'ya, Vladimir
Mathematics · #Applied mathematics #Biology #Differential Equations and Boundary Problems #FOS: Mathematics #Mathematical physics #Mathematics #Numerical methods in inverse problems #Operator (biology) #Qualitative analysis #Qualitative research #Schrödinger's cat #Social science #Sociology #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics #math.SP
paper · pdf · doi:10.48550/arxiv.math/0702427
arxiv created 2007/02/14 · openalex publication_date 2007/02/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A number of topics in the qualitative spectral analysis of the Schrödinger operator -Δ+ V are surveyed. In particular, some old and new results concerning the positivity and semiboundedness of this operator as well as the structure of different parts of its spectrum are considered. The attention is focused on conditions both necessary and sufficient, as well as on their sharp corollaries.