Abstract
We consider a model Schrodinger operator Hμ associated with a system of three particles on the threedimensional lattice ℤ3 with a functional parameter of special form. We prove that if the corresponding Friedrichs model has a zero-energy resonance, then the operator Hμ has infinitely many negative eigenvalues accumulating at zero (the Efimov effect). We obtain the asymptotic expression for the number of eigenvalues of Hμ below z as z → −0.
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.
