V. Tkachuk

发表

Observation of spin-1 tunneling on a quantum computer

Kh. P. Gnatenko, V. Tkachuk, 2022, The European Physical Journal Plus.

Preparation of quantum states of two spin-12 particles in the form of the Schmidt decomposition

V. Tkachuk, A. Kuzmak, 2014, 1404.2150.

Quantifying geometric measure of entanglement by mean value of spin and spin correlations with application to physical systems

V. Tkachuk, A. Frydryszak, M. Samar, 2016, The European Physical Journal D.

GENERAL PROBLEMS OF THEORETICAL PHYSICS

I. Franko, V. Tkachuk, V. Vasyuta, 2017 .

Lorentz-covariant deformed algebra with minimal length and application to the 1+1-dimensional Dirac oscillator

C. Quesne, V. Tkachuk, 2006, quant-ph/0604118.

Composite system in deformed space with minimal length

C. Quesne, V. Tkachuk, 2009, 0906.0050.

Kepler Problem in Space with Deformed Lorentz-Covariant Poisson Brackets

V. Tkachuk, M. Samar, 2020, Foundations of Physics.

Galilean and Lorentz Transformations in a Space with Generalized Uncertainty Principle

V. Tkachuk, 2016 .

Dirac oscillator with nonzero minimal uncertainty in position

C. Quesne, V. Tkachuk, 2004, math-ph/0412052.

Deformed algebras, position-dependent effective masses and curved spaces: an exactly solvable Coulomb problem

C. Quesne, V. Tkachuk, 2004, math-ph/0403047.

Deformed shape invariance and exactly solvable Hamiltonians with position-dependent effective mass

B. Bagchi, C. Quesne, A. Banerjee, 2004, quant-ph/0412016.

Generalized deformed commutation relations with nonzero minimal uncertainties in position and/or momentum and applications to quantum mechanics

C. Quesne, V. Tkachuk, 2006, quant-ph/0603077.

Hamiltonians with position-dependent mass, deformations and supersymmetry

B. Bagchi, C. Quesne, A. Banerjee, 2005, quant-ph/0512046.

Electron-phonon interaction influence on electron and phonon excitations in amorphous metals

V. Tkachuk, I. Vakarchuk, V. Myhal, 1994 .

Energy spectrum and elementary excitation damping in the structurally disordered ising model in a transverse field

V. Tkachuk, I. Vakarchuk, 1990 .

Energy spectrum of magnon excitations in amorphous bodies with allowance for the spin-phonon interaction

V. Tkachuk, I. Vakarchuk, 1989 .

Exact continuity equation in a space with minimal length

V. Tkachuk, H. Laba, 2020, Physics Letters A.

Galilean and Lorentz Transformations in a Space with Generalized Uncertainty Principle

V. Tkachuk, 2016, Foundations of Physics.

More on a SUSYQM approach to the harmonic oscillator with nonzero minimal uncertainties in position and/or momentum

C. Quesne, V. Tkachuk, 2003, math-ph/0312029.

Factorization and superpotential of the PT symmetric Hamiltonian

V. Tkachuk, T. Fityo, 2001, quant-ph/0204018.

Detection of energy levels of a spin system on a quantum computer by probe spin evolution

Kh. P. Gnatenko, V. Tkachuk, H. Laba, 2021, The European Physical Journal Plus.

Maths-type /q-deformed coherent states for /q>1

K. Penson, C. Quesne, V. Tkachuk, 2003, quant-ph/0303120.

Multidimensional quasi-exactly solvable potentials with two known eigenstates

V. Tkachuk, T. Fityo, 1998, quant-ph/9801021.

Supersymmetry of a spin particle on the real line

P. Roy, V. Tkachuk, 1999, quant-ph/9905102.

Supersymmetry of a nonstationary Pauli equation

V. Tkachuk, 1997, quant-ph/9709015.

QUASI-EXACTLY SOLVABLE POTENTIALS WITH THREE KNOWN EIGENSTATES

V. Tkachuk, T. Kuliy, 1998, quant-ph/9807025.

Supersymmetric method for constructing quasi-exactly and conditionally-exactly solvable potentials

V. Tkachuk, 1998, quant-ph/9808050.

Lie symmetry, discrete symmetry and supersymmetry of the Pauli Hamiltonian

V. Tkachuk, A. Frydryszak, 2001, quant-ph/0110049.

Ground state of the electron in the magnetic field of a straight current

V. Tkachuk, S. I. Vakarchuk, 2001 .

Motion of a spin-½ particle in shape invariant scalar and magnetic fields

P. Roy, V. Tkachuk, 1999, quant-ph/9911048.

Supersymmetry of the electron in a three-dimensional magnetic field

V. Tkachuk, S. I. Vakarchuk, 1997 .

Lorentz-covariant deformed algebra with minimal length

C. Quesne, V. Tkachuk, 2006, quant-ph/0612093.

Aspects of Pre-quantum Description of Deformed Theories

V. Tkachuk, A. Frydryszak, 2003 .

Weak equivalence principle in noncommutative phase space and the parameters of noncommutativity

Kh. P. Gnatenko, V. Tkachuk, 2016, 1701.00809.

Time-reversal and rotational symmetries in noncommutative phase space

Kh. P. Gnatenko, V. Tkachuk, M. Samar, 2018, Physical Review A.

Features of free particles system motion in noncommutative phase space and conservation of the total momentum

Kh. P. Gnatenko, V. Tkachuk, H. Laba, 2018, Modern Physics Letters A.

Quasi-exactly solvable periodic and random potentials

V. Tkachuk, O. Voznyak, 2002 .

Entangled states in supersymmetric quantum mechanics

V. Tkachuk, H. Laba, 2019, 1907.11023.

Supersymmetric approach for generating quasi-exactly solvable potentials with arbitrary two known eigenstates

V. Tkachuk, 2001, quant-ph/0107115.

The quantum brachistochrone problem for two spins-12?> with anisotropic Heisenberg interaction

V. Tkachuk, A. Kuzmak, 2012, 1211.2549.

Inverse Square potential in a Space with Spin Noncommutativity of Coordinates

V. Tkachuk, V. Vasyuta, 2017 .

Falling of a quantum particle in an inverse square attractive potential

V. Tkachuk, V. Vasyuta, 2015, 1505.04750.

Energy spectrum and phonon excitation damping in many-component amorphous solids

V. Tkachuk, V. Myhal, I. Vakarchuk, 1991 .

Measuring entanglement of a rank-2 mixed state prepared on a quantum computer

V. Tkachuk, A. Kuzmak, 2020, The European Physical Journal Plus.

Probing the Lee–Yang zeros of a spin bath by correlation functions and entanglement of two spins

V. Tkachuk, A. Kuzmak, 2019, Journal of Physics B: Atomic, Molecular and Optical Physics.

Classical electrodynamics in a space with spin noncommutativity of coordinates

V. Tkachuk, V. Vasyuta, 2016, 1604.07448.

Deformed Heisenberg algebras of different types with preserved weak equivalence principle

Kh. P. Gnatenko, V. Tkachuk, 2023, Journal of Physical Studies.

Lee–Yang zeros and two-time spin correlation function

Kh. P. Gnatenko, V. Tkachuk, A. Kargol, 2017, Physica A: Statistical Mechanics and its Applications.

D ec 2 01 7 Lee-Yang zeros and two-time spin correlation function December 8 , 2017

Kh. P. Gnatenko, V. Tkachuk, A. Kargol, 2017 .

Geometry of a two-spin quantum state in evolution

V. Tkachuk, A. Kuzmak, 2015, 1507.02197.

The quantum brachistochrone problem for an arbitrary spin in a magnetic field

V. Tkachuk, A. Kuzmak, 2015, 1503.00958.

Detecting entanglement by the mean value of spin on a quantum computer

V. Tkachuk, A. Kuzmak, 2020, 2003.01011.

Entanglement of graph states of spin system with Ising interaction and its quantifying on IBM's quantum computer

Kh. P. Gnatenko, V. Tkachuk, 2020, Physics Letters A.

Quantum brachistochrone problem for a spin-1 system in a magnetic field

V. Tkachuk, A. Frydryszak, 2007, 0709.0931.

Detection of energy levels of a spin system on a quantum computer by probe spin evolution

Kh. P. Gnatenko, V. Tkachuk, H. Laba, 2022, The European Physical Journal Plus.

Energy levels estimation on a quantum computer by evolution of a physical quantity

Kh. P. Gnatenko, V. Tkachuk, I. Vakarchuk, 2021, Physics Letters A.

Detection energy levels of a quantum system on a quantum computer by probe spin evolution

Kh. P. Gnatenko, V. Tkachuk, H. Laba, 2021 .

Phonon excitations in multicomponent amorphous solids

V. Tkachuk, I. Vakarchuk, V. M. Migal’, 1988 .

Quantum topological phase of an electric dipole circulating around a ferromagnetic wire

V. Tkachuk, 2000 .

Exact energy spectrum of the generalized Dirac oscillator in an electric field

V. Tkachuk, H. Laba, 2018, The European Physical Journal Plus.

Exact energy spectrum of the generalized Dirac oscillator in an electric field

V. Tkachuk, H. Laba, 2018, The European Physical Journal Plus.

Scattering problem in deformed space with minimal length

V. Tkachuk, M. Stetsko, 2007, hep-th/0703263.

Weak equivalence principle in quantum space

Kh. P. Gnatenko, V. Tkachuk, 2022, Frontiers in Astronomy and Space Sciences.

Influence of Noncommutativity on the Motion of Sun-Earth-Moon System and the Weak Equivalence Principle

Kh. P. Gnatenko, V. Tkachuk, 2018, International Journal of Theoretical Physics.

Length in a Noncommutative Phase Space

Kh. P. Gnatenko, V. Tkachuk, 2018 .

Composite system in rotationally invariant noncommutative phase space

Kh. P. Gnatenko, V. Tkachuk, 2017, 1711.04527.

Noncommutative phase space with rotational symmetry and hydrogen atom

Kh. P. Gnatenko, V. Tkachuk, 2017, 1706.05508.

Two-particle system in noncommutative space with preserved rotational symmetry

Kh. P. Gnatenko, V. Tkachuk, 2016, 1605.09638.

Perturbation of the ns levels of the hydrogen atom in rotationally invariant noncommutative space

Kh. P. Gnatenko, V. Tkachuk, Yuri Krynytskyi, 2014, 1412.7355.

Hydrogen atom in rotationally invariant noncommutative space

Kh. P. Gnatenko, V. Tkachuk, 2014, 1407.6495.

The WKB approximation in the deformed space with the minimal length and minimal momentum

V. Tkachuk, I. Vakarchuk, T. Fityo, 2007, 0709.1321.

Parameters of the deformed algebra with minimal uncertainties in position and momentum and the weak equivalence principle

Kh. P. Gnatenko, V. Tkachuk, N. A. Susulovska, 2021 .

Regularization of δ′ potential in general case of deformed space with minimal length

V. Tkachuk, M. Samar, 2018, Journal of Mathematical Physics.

Exact solutions for two-body problems in 1D deformed space with minimal length

V. Tkachuk, M. Samar, 2017, 1707.01125.

One-dimensional Coulomb-like problem in general case of deformed space with minimal length

V. Tkachuk, M. Samar, 2016, 1602.05905.

Exactly solvable problems in the momentum space with a minimum uncertainty in position

V. Tkachuk, M. Samar, 2015, 1511.02617.

Orbital magnetic moment of the electron in the hydrogen atom in a deformed space with minimal length

V. Tkachuk, M. Stetsko, 2007, 0710.5088.

Harmonic oscillator with nonzero minimal uncertainties in both position and momentum in a SUSYQM framework

C. Quesne, V. Tkachuk, 2003, math-ph/0306047.

Relation of deformed nonlinear algebras with linear ones

V. Tkachuk, A. Nowicki, Volodymyr Tkachuk, 2013, 1312.5104.

One-dimensional Coulomb-like problem in deformed space with minimal length

V. Tkachuk, I. Vakarchuk, T. Fityo, 2005, quant-ph/0507117.

Kinetic energy properties and weak equivalence principle in a space with generalized uncertainty principle

Kh. P. Gnatenko, V. Tkachuk, 2019, Modern Physics Letters A.

Effect of the generalized uncertainty principle on Galilean and Lorentz transformations

V. Tkachuk, 2013, 1310.6243.

Deformed Heisenberg algebra with minimal length and the equivalence principle

V. Tkachuk, 2012, 1301.1891.

Macroscopic body in the Snyder space and minimal length estimation

Kh. P. Gnatenko, V. M. Tkachuk, V. Tkachuk, 2019, EPL (Europhysics Letters).

Perturbation hydrogen-atom spectrum in deformed space with minimal length

V. Tkachuk, M. Stetsko, 2006, quant-ph/0603042.

Minimal length estimation on the basis of studies of the Sun–Earth–Moon system in deformed space

Kh. P. Gnatenko, V. Tkachuk, 2019, International Journal of Modern Physics D.

Effect of coordinate noncommutativity on the mass of a particle in a uniform field

Kh. P. Gnatenko, V. Tkachuk, 2015, 1506.05287.

Quantum-mechanical analogy and supersymmetry of electromagnetic wave modes in planar waveguides

V. Tkachuk, H. Laba, 2014, 1403.1416.

Preparation and study of the entanglement of the Schrödinger cat state on the ibmq-melbourne quantum computer

V. Tkachuk, A. Kuzmak, 2020, Condensed Matter Physics.

Detecting the Lee-Yang zeros of a high-spin system by the evolution of probe spin

V. Tkachuk, A. Kuzmak, 2018, EPL (Europhysics Letters).