Topological Levinson's theorem for inverse square potentials: complex, infinite, but not exceptional

Autor:	Inoue, H., Richard, S.
Rok vydání:	2018
Předmět:	Mathematics - Spectral Theory Mathematical Physics
Druh dokumentu:	Working Paper
Popis:	In this review paper we carry on our investigations on Schroedinger operators with inverse square potentials on the half-line. Depending on several parameters, such operators possess either a finite number of complex eigenvalues, or an infinite one, but also some spectral singularities embedded in the continuous spectrum (exceptional situations). The spectral and the scattering theory for these operators is recalled, and new results for the exceptional cases are provided. Some index theorems in scattering theory are also developed, and explanations why these results can not be extended to the exceptional cases are provided. Comment: 24 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1810.11961 Zobrazit plný text záznamu View this record from Arxiv