Abstract
The non-Hermitian matrix Schrodinger equation obtained by the Backlund–Darboux transformation (BDT) is treated. The potentials, fundamental solutions and Weyl functions are constructed explicitly. A symmetric reduction of the BDT is introduced and this case is studied in greater detail, including potentials, fundamental solutions, bound states, the reality of the discrete spectrum and spontaneous break of the symmetry, the sign-indefinite scalar product, and examples.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: 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.