5 citations · 45 across the 42 of their papers we have counts for
15 papers · 1 filter
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…
Quantum and classical approaches in statistical physics: some basic inequalities
Lev Sakhnovich
We present some basic inequalities between the classical and quantum values of free energy, entropy and mean energy. We investigate the transition from the deterministic case (clas…
Lippmann-Schwinger equation and the connection between the scattering operator and the scattering amplitude in the relativistic case
Lev Sakhnovich
In this paper, we consider two types of the scattering problems (relativistic case), namely, the stationary scattering problem, where the distance tends to infinity, and the dy…
3D Schrödinger equation: scattering operator, scattering amplitude and ergodic property
Lev Sakhnovich
Stationary scattering problem (when the distance tends to infinity) and dynamical scattering problem (when the time tends to infinity) are considered for the 3D Schrödinger…
Relativistic Lippmann - Schwinger equation
Lev Sakhnovich
The classical Lippmann-Schwinger equation plays an important role in the scattering theory (non-relativistic case, Schrödinger equation). In the present paper we consider the relat…