43 citations · 76 across the 8 of their papers we have counts for
8 papers
Lieb-Thirring and Jensen sums for non-self-adjoint Schrödinger operators on the half-line
Leonid Golinskii, Alexei Stepanenko
We prove upper and lower bounds for sums of eigenvalues of Lieb-Thirring type for non-self-adjoint Schrödinger operators on the half-line. The upper bounds are established for gene…
Computing eigenvalues of the Laplacian on rough domains
Frank Rösler, Alexei Stepanenko
We prove a general Mosco convergence theorem for bounded Euclidean domains satisfying a set of mild geometric hypotheses. For bounded domains, this notion implies norm-resolvent co…
Bounds for Schrödinger operators on the half-line perturbed by dissipative barriers
Alexei Stepanenko
We consider Schrödinger operators of the form for large , where and . Bounds for the maximum magnitude of a…
Spectral Inclusion and Pollution for a Class of Dissipative Perturbations
Alexei Stepanenko
Spectral inclusion and spectral pollution results are proved for sequences of linear operators of the form on a Hilbert space, where is strongly convergent to…
Field-theoretic methods for systems of particles with exotic exclusion statistics
A. S. Stepanenko, J. M. F. Gunn
We calculate the partition function of a gas of particles obeying Haldane exclusion statistics, using a definition of a Hilbert space having a `fractional dimension' and constructi…
`Baryonic' bound-state instability in trapped fermionic atoms
A. S. Stepanenko, J. M. F. Gunn
We consider a homogeneous gas of spin-S fermionic atoms, as might occur near the center of an optical trap. In the case where all scattering lengths are negative and of the same ma…