Add to ORKGA fundamental result of Solomyak says that the number of negative eigenvalues of a Schrödinger operator on a two-dimensional domain is bounded from above by a constant times a certain Orlicz norm of the potential. Here it is shown that in the case of Dirichlet boundary conditions the constant in this bound can be chosen independently of the domain
We derive a sharp bound on the location of non-positive eigenvalues of Schröedinger operators on the...
We derive a sharp bound on the location of non-positive eigenvalues of Schröedinger operators on the...
In this thesis, we study the spectrum of Schrödinger operators with complex potentials and Dirichle...
A fundamental result of Solomyak says that the number of negative eigenvalues of a Schrödinger opera...
A fundamental result of Solomyak says that the number of negative eigenvalues of a Schrödinger opera...
A fundamental result of Solomyak says that the number of negative eigenvalues of a Schrödinger opera...
We show that the absolute values of non-positive eigenvalues of Schrödinger operators with complex p...
We show that the absolute values of non-positive eigenvalues of Schrödinger operators with complex p...
We show that the absolute values of non-positive eigenvalues of Schrödinger operators with complex p...
AbstractThis paper is concerned with the eigenvalue problem (−Δ+V(x))u=λuon Ω andu|∂Ω=0, where Ω is ...
Shargorodsky The paper presents estimates for the number of negative eigenvalues of a two-dimensiona...
We consider Schrödinger operators of the form HR=−{d}2/{d}x2+q+iγχ[0,R] for large R>0 , where q∈L...
We consider Schrödinger operators of the form HR=−{d}2/{d}x2+q+iγχ[0,R] for large R>0 , where q∈L...
We study the eigenvalues of Schrödinger operators with complex potentials in odd space dimensions. W...
Paper presented at the 4th Strathmore International Mathematics Conference (SIMC 2017), 19 - 23 June...
We derive a sharp bound on the location of non-positive eigenvalues of Schröedinger operators on the...
We derive a sharp bound on the location of non-positive eigenvalues of Schröedinger operators on the...
In this thesis, we study the spectrum of Schrödinger operators with complex potentials and Dirichle...
A fundamental result of Solomyak says that the number of negative eigenvalues of a Schrödinger opera...
A fundamental result of Solomyak says that the number of negative eigenvalues of a Schrödinger opera...
A fundamental result of Solomyak says that the number of negative eigenvalues of a Schrödinger opera...
We show that the absolute values of non-positive eigenvalues of Schrödinger operators with complex p...
We show that the absolute values of non-positive eigenvalues of Schrödinger operators with complex p...
We show that the absolute values of non-positive eigenvalues of Schrödinger operators with complex p...
AbstractThis paper is concerned with the eigenvalue problem (−Δ+V(x))u=λuon Ω andu|∂Ω=0, where Ω is ...
Shargorodsky The paper presents estimates for the number of negative eigenvalues of a two-dimensiona...
We consider Schrödinger operators of the form HR=−{d}2/{d}x2+q+iγχ[0,R] for large R>0 , where q∈L...
We consider Schrödinger operators of the form HR=−{d}2/{d}x2+q+iγχ[0,R] for large R>0 , where q∈L...
We study the eigenvalues of Schrödinger operators with complex potentials in odd space dimensions. W...
Paper presented at the 4th Strathmore International Mathematics Conference (SIMC 2017), 19 - 23 June...
We derive a sharp bound on the location of non-positive eigenvalues of Schröedinger operators on the...
We derive a sharp bound on the location of non-positive eigenvalues of Schröedinger operators on the...
In this thesis, we study the spectrum of Schrödinger operators with complex potentials and Dirichle...