10 citations · 13 across the 3 of their papers we have counts for
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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…
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…
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…
Proof that the Hydrogen-antihydrogen Molecule is Unstable
D. K. Gridnev, C. Greiner
In the framework of nonrelativistic quantum mechanics we derive a necessary condition for four Coulomb charges , where all masses are assumed…
Stability of Three Unit Charges. Necessary Conditions
D. K. Gridnev, C. Greiner, W. Greiner
We consider the stability of three Coulomb charges with finite masses in the framework of nonrelativistic quantum mechanics. A simple physical condition on masses…