1 citations · 4 across the 13 of their papers we have counts for
13 papers
Models of {\bf Z}-Orbits of Unitary in Indefinite Inner Product Spaces Operators
Sergej A. Choroszavin
Given a lineal H_0 and x_0\in H_0 and a linear injective operator U_0: H_0 \to H_0 such that all U_0^N, N \in {\bf Z} exist and all U_0^N x_0, N \in {\bf Z} are linearly independen…
An Example of J-unitary Operator. Solving a Problem Stated by M.G. Krein
Sergej A. Choroszavin
Theorem 1. Given a number c >= 1, there exists a J-unitary operator \hat{V}, such that: (a) r(\hat{V})= r(\hat{V}^{-1})= c ; (b) S(c^{-1}\hat{V})=S(c^{-1}\hat{V}^{-1}) =S(c^{-1}\ha…
What do quantum particles do, being under potential barrier? Tunnelling time. A Virtual Experiment Standpoint
Sergej A. Choroszavin
Addressed, mainly: postgraduates and related readers. Subject: Given two classical mechanical 1D-moving particles (material points), with identical initial data, one of those parti…
Linear Hamilton Systems without Regular Properties. Solving a Problem Stated by M.G. Krein
Sergej A. Choroszavin
We construct linear Hamilton systems without usual dichotomy property. The Ljapunov spectra of these systems are unfamiliar and conflicting, the behaviour of trajectories is very c…
Notes on Rank-One Perturbed Resolvent
Sergej A. Choroszavin
This paper is a didactic comment (a transcription with variations) to the paper of S.R. Foguel {\it Finite Dimensional Perturbations in Banach Spaces}. Addressed, mainly: postgradu…
Notes on Rank One Perturbed Resolvent. Perturbation of Isolated Eigenvalue
Sergej A. Choroszavin
This paper is a didactic commentary (a transcription with variations) to the paper of S.R. Foguel {\it Finite Dimensional Perturbations in Banach Spaces}. Addressed, mainly: postgr…