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Threshold effects for systems of two and three particles on lattices

Mathematical Physics & Probability

Speaker: Saidakhmat Lakaev, Samarkand State University
Location: 2112 MSB
Start time: Wed, Jun 4 2014, 4:10PM

The hamiltonians of two and three particles moving on d-dimensional lattices and interacting via pairwise short-range potentials are considered. The following new results are discussed: (i) The existence of bound states for the two-particle hamiltonians depending on the quasi-momentum. (ii) The infiniteness (Efimov's effect) and finiteness of the number of bound states of the three-particle hamiltonians and the corresponding asymptotics for the number of eigenvalues.