39 citations · 178 across the 24 of their papers we have counts for
16 papers · 1 filter
Proof of the Super Efimov Effect
Dmitry K. Gridnev
We consider the system of 3 nonrelativistic spinless fermions in two dimensions, which interact through spherically-symmetric pair interactions. Recently a claim has been made for…
Universal low-energy behavior in three-body systems
Dmitry K. Gridnev
We consider a pairwise interacting quantum 3-body system in 3-dimensional space with finite masses and the interaction term , where all pair potentials…
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…
Why there is no Efimov effect for four bosons and related results on the finiteness of the discrete spectrum
Dmitry K. Gridnev
We consider a system of pairwise interacting particles described by the Hamiltonian , where and none of the particle pairs has a zero energy reson…
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…
Comment on the article "On the Existence of the N-Body Efimov Effect" by X. P. Wang
Dmitry K. Gridnev
It is shown that the proof of the main theorem in the article "On the Existence of the N-Body Efimov Effect" by X. P. Wang, J. Funct. Anal. 209 (2004) pp. 137--161, is incorrect.