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math-ph2006★ 10 cited
Rigorous conditions for the existence of bound states at the threshold in the two-particle case
D. K. Gridnev, M. E. Garcia
In the framework of non-relativistic quantum mechanics and with the help of the Greens functions formalism we study the behavior of weakly bound states as they approach the continu…
math-ph2006★ 1 cited
Bound States at Threshold in Systems with Coulomb Repulsion
D. K. Gridnev
The eigenvalue absorption for a many-particle Hamiltonian depending on a parameter is analyzed in the framework of non--relativistic quantum mechanics. The long--range part of pair…
math-ph2006★ 2 cited
Bound States at the Threshold. Many-particle case
D. K. Gridnev
We consider the phenomenon of eigenvalue absorption for a many body Hamiltonian, which depends on a parameter. The conditions on pair potentials, which guarantee that the eigenvalu…