5 citations · 45 across the 42 of their papers we have counts for
43 papers
Feynman's linear divergence problem
Alexander Sakhnovich, Lev Sakhnovich
First, we consider generalized wave and scattering operators and derive modifications of commutation relations (between scattering operators and unperturbed operators) when the cor…
Heisenberg's S-matrix program and Feynman's divergence problem
Lev Sakhnovich
In the present article, we assume that the first approximation of the scattering operator is given and that it has the logarithmic divergence. This first approximation allows us to…
Periodic functions: self-intersections, local singular points, and folds
Lev Sakhnovich
The oscillations described by periodic functions play an important role in many areas. In the present paper, we study periodic functions which belong to the class of the -member…
Almost periodic functions and an analytical method of solving the number partitioning problem
Lev Sakhnovich
In the present paper, we study the limit sets of the almost periodic functions . It is interesting that the values and may be expressed in the e…
The sine kernel, two corresponding operator identities, and random matrices
Lev Sakhnovich
In the present paper, we consider the integral operator, which acts in Hilbert space and has sine kernel. This operator generates two operator identities and two corresponding cano…
Characteristic function of M. Livšic and some developments
Lev Sakhnovich
The area related to M. Livšic's characteristic matrix functions is too vast to be discussed in one paper and we selected for this article the problems which are close to our scient…