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6 papers
On necessary and sufficient conditions relating the adjoint of a column to a row of linear relations
Rytis Jursenas
A row and a column of two linear relations in Hilbert spaces are presented respectively as a sum and an intersection of two linear relations. As an application, necessary and suffi…
The A-model with mutually equal model parameters can lead to a Hilbert space model
Rytis Jursenas
It is known that the A-model for higher order singular perturbations can be considered as a Hilbert space model if the model parameters are mutually distinct, and that it is necess…
On some extensions of the A-model
Rytis Jursenas
The A-model for finite rank singular perturbations of class , , is considered from the perspective of boundary…
Weyl families of essentially unitary pairs
Rytis Jursenas
It is known that the Weyl families corresponding to unitary boundary pairs belong to the class of Nevanlinna families. Here we…
Irreducible tensor form for the AME coupling
Rytis Jursenas
Using the multipole expansion of electromagnetic (EM) field, we present the angular magnetoelectric (AME) coupling in irreducible tensor form. We evaluate the matrix elements when…
Computation of unitary group for the Rashba spin-orbit coupled operator, with application to point-interactions
Rytis Jursenas
We compute an explicit formula for the one-parameter unitary group of the single-particle Rashba spin-orbit coupled operator in dimension three. As an application, we derive the fo…