Abstract
The perturbation of a Schrodinger operator H0 with an arbitrary bounded potential function q, decreasing sufficiently fast at infinity, is considered. With the aid of results of the nuclear theory, for the corresponding pair of Hamiltonians H0, H=H0+q, one establishes the existence and the completeness of the wave operators. Generalizations are given to a wider class of unperturbed operators H0, and also to perturbations by firstorder differential operators. In addition, perturbations by integral operators of Fourier type are investigated.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
