Mathematics Colloquia and Seminars
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Threshold effects for systems of two and three particles on latticesMathematical 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
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.