Complex potentials: bound states, quantum dynamics and wave operators

Autor:	Stepin, S. A.
Rok vydání:	2014
Předmět:	Mathematics - Spectral Theory 34L15 (Primary) 34L25 (Secondary)
Druh dokumentu:	Working Paper
Popis:	Schr\"odinger operator on half-line with complex potential and the corresponding evolution are studied within perturbation theoretic approach. The total number of eigenvalues and spectral singularities is effectively evaluated. Wave operators are constructed and a criterion is established for the similarity of perturbed and free propagators. Comment: 9 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1402.7186 Zobrazit plný text záznamu View this record from Arxiv