19 citations · 40 across the 6 of their papers we have counts for
6 papers
Scattering solution of Schrödinger equation with -potential in deformed space with minimal length
M. I. Samar, V. M. Tkachuk
We consider the Dirac -function potential problem in general case of deformed Heisenberg algebra leading to the minimal length. Exact bound and scattering solutions of the probl…
Structured condition numbers for the total least squares problem with linear equality constraint and their statistical estimation
Mahvish Samar
In this paper, we derive the mixed and componentwise condition numbers for a linear function of the solution to the total least squares with linear equality constraint (TLSE) probl…
Time reversal and rotational symmetries in noncommutative phase space
Kh. P. Gnatenko, M. I. Samar, V. M. Tkachuk
Time reversal symmetry is studied in a space with noncommutativity of coordinates and noncommutativity of momenta of canonical type. The circular motion is examined as an apparent…
Exact solutions for two-body problems in 1D deformed space with minimal length
M. I. Samar, V. M. Tkachuk
We reduce two-body problem to the one-body problem in general case of deformed Heisenberg algebra leading to minimal length.Two-body problems with delta and Coulomb-like interactio…
One-dimensional Coulomb-like problem in general case of deformed space with minimal length
M. I. Samar, V. M. Tkachuk
We present a definition of the two-sided inverse of position operator in general case of deformed Heisenberg algebra leading to minimal length. Energy spectrum and eigenfunctions i…
Exactly solvable problems in the momentum space with a minimum uncertainty in position
M. I. Samar, V. M. Tkachuk
A new approach in solution of simple quantum mechanical problems in deformed space with minimal length is presented. We propose the generalization of Schroëdinger equation in momen…