1 citations · 1 across the 4 of their papers we have counts for
4 papers
The few-body universality is not exact for more than three particles
Dmitry K. Gridnev
In the literature it is conjectured that the ground state energies of three and four bosons are universally related for all pair-interactions given that two bosons have a zero ener…
Essential spectrum of a limit of self--adjoint operators
Dmitry K. Gridnev
For a sequence of self--adjoint operators, which converges in the norm resolvent sense, the formula is derived, which expresses the essential spectrum of the limit through the esse…
Zero Energy Ground State in the Three-Body System
Dmitry K. Gridnev
We consider a 3--body system in with non--positive potentials and non--negative essential spectrum. Under certain requirements on the fall off of pair potentials it…
Zero Energy Bound States in Three--Particle Systems
Dmitry K. Gridnev
Under certain restrictions on pair--potentials it is proved that the eigenvalues in the three--particle system are absorbed at zero energy threshold if there is no negative energy…