Zobrazeno 1 - 10
of 37
pro vyhledávání: '"Samar, M. I."'
Autor:
Samar, M. I., Tkachuk, V. M.
We consider the Dirac $\delta$-function potential problem in general case of deformed Heisenberg algebra leading to the minimal length. Exact bound and scattering solutions of the problem in quasiposition representation are presented. We obtain that
Externí odkaz:
http://arxiv.org/abs/2110.12494
Autor:
Samar, M. I., Tkachuk, V. M.
In general case of deformed Heisenberg algebra leading to the minimal length, we present a definition of the $\delta'(x)$ potential as a linear kernel of potential energy operator in momentum representation. We find exactly the energy level and corre
Externí odkaz:
http://arxiv.org/abs/2108.11049
Autor:
Samar, M. I., Tkachuk, V. M.
In general case of deformed Heisenberg algebra leading to the minimal length we present a definition of the square inverse position operator. Our proposal is based on the functional analysis of the square position operator. Using this definition a pa
Externí odkaz:
http://arxiv.org/abs/1812.03693
Publikováno v:
Phys. Rev. A 99, 012114 (2019)
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 example of time reversal symmetry breaking in the space. On the basis
Externí odkaz:
http://arxiv.org/abs/1811.00372
Autor:
Samar, M. I., Tkachuk, V. M.
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 interactions are solved exactly. We obtain analytical expression for the energy
Externí odkaz:
http://arxiv.org/abs/1707.01125
We quantify the geometric measure of entanglement in terms of mean values of observables of entangled system. For pure states we find the relation of geometric measure of entanglement with the mean value of spin one-half for the system composed of sp
Externí odkaz:
http://arxiv.org/abs/1610.01432
Autor:
Samar, M. I., Tkachuk, V. M.
Publikováno v:
J.Math. Phys. 57, 082108 (2016)
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 in momentum space for 1D Coulomb-like potential in deformed space are f
Externí odkaz:
http://arxiv.org/abs/1602.05905
Autor:
Samar, M. I., Tkachuk, V. M.
Publikováno v:
J. Math. Phys. 57, 042102 (2016)
A new approach in solution of simple quantum mechanical problems in deformed space with minimal length is presented. We propose the generalization of Schro\"edinger equation in momentum representation on the case of deformed Heisenberg algebra with m
Externí odkaz:
http://arxiv.org/abs/1511.02617
Akademický článek
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Autor:
Samar, M. I.1 (AUTHOR) mykolasamar@gmail.com, Tkachuk, V. M.1 (AUTHOR)
Publikováno v:
Foundations of Physics. Sep2020, Vol. 50 Issue 9, p942-959. 18p.
