Asymptotic Dynamics and Spectral Analysis for Schrödinger Operator with Weakly Accelerated Potential. (2015)

• Record Type: Journal Article
• Authors: Jelić, Gordana
• Is Part Of: Procedia technology. Volume 19(2015)
• Page Start: 802
• Page End: 809
• Publication Date: 2015
• Subjects: operator -- asymmetric behavior -- asymptotic formula -- unitary operator.; Technology -- Congresses; Technology -- Periodicals; Engineering -- Congresses; Engineering -- Periodicals; Engineering; Technology; Conference proceedings; Periodicals; 605
• DOI: 10.1016/j.protcy.2015.02.115
• Languages: English
• ISSNs: 2212-0173

Abstract

Abstract: The main result of this paper is that, under conditions met by the potential υ, which are there are wave operators The operators W± are unitary and realize the similarity between and H, i.e. H W± = W± . It has been proven that if υ1 and υ2 are two potentials to which the operators H1 and H2 correspond, then there are the wave operators associated with W1, ±, W2, ± by the relations where, .