In this article we develop a systematic approach to treat Dirac operators $ A_
{\eta,\tau,\lambda} $ with singular electrostatic, Lorentz scalar, and anomalous magnetic …

In this article, Dirac operators A_ η, τ A η, τ coupled with combinations of electrostatic and
Lorentz scalar δ δ-shell interactions of constant strength η η and τ τ, respectively, supported …

For a family of self-adjoint Dirac operators-ic (α·∇)+ c 2 2 subject to generalized MIT bag
boundary conditions on domains in R 3, it is shown that the nonrelativistic limit in the norm …

In this paper we study the spectrum of self-adjoint Schrödinger operators in L 2 (R 2) with a
new type of transmission conditions along a smooth closed curve Σ⊆ R 2. Although these …

The first part of the paper concerns with infinite symmetric block Jacobi matrices J with p× p-
matrix entries. We present new conditions for general block Jacobi matrices to be self …

(1) were studied in numerous papers (see [2]–[14] and the references therein). Here An= A∗
n, Bn∈ Cp× p, det Bn= 0, n∈ N0:= N∪{0}, Op is the zero matrix, and Cp× p is the set of all …

A survey of results on quantum mechanical interactions described by idealized short range
potentials, for short “point interactions”, is presented. Both physical and mathematical …

Статья посвящена определению асимптотического поведения собственных значений
одному из актуальных направлений в исследовании операторов, порожденных …

We provide a limiting absorption principle for self-adjoint realizations of Dirac operators with
electrostatic and Lorentz scalar δ-shell interactions supported on regular compact surfaces …

(1) were first introduced by Krein in [1] and studied in numerous papers (see [2]-[13] and the
bibliography therein). Here An= A∗ n, Bn∈ Cm× m, detBn= 0, n∈ N0:= N∪{0}, Om is the …