Scattering and bound states for nonselfadjoint Schr\'odinger operator

Autor:	Stepin, S. A.
Rok vydání:	2013
Předmět:	Mathematics - Classical Analysis and ODEs 34L15 34L25
Druh dokumentu:	Working Paper
Popis:	Spectral components of one-dimensional Schr\"odinger operator with complex potential are investigated. An effective upper bound for the total number of eigenvalues and spectral singularities is established. For dissipative Schr\"odinger operator sufficient condition is found which guarantees the absence of singular component in the continuous spectrum and spectral decomposition is exposed.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1306.6457 Zobrazit plný text záznamu View this record from Arxiv