Publications by V. M. Tkachuk
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A. R. Kuzmak, V. M. Tkachuk
Probing mean values and correlations of high-spin systems on a quantum computer
EPL (Europhys. Lett.)
144, No. 3, 38001 [7 p.] (2023)
[abs]
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H. P. Laba, V. M. Tkachuk
Calculation of partition function of Ising model on quantum computer
Phys. Lett. A
491, 129213 [6 p.] (2023)
[abs]
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Kh. P. Gnatenko, V. M. Tkachuk
Observation of spin-1 tunneling on a quantum computer
Eur. Phys. J. Plus
138, No. 4, 346 [8 p.] (2023)
[abs]
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Kh. P. Gnatenko, V. M. Tkachuk
Deformed Heisenberg algebras of different types with preserved weak equivalence principle
J. Phys. Stud.
27, No. 1, 1001 [19 p.] (2023)
[abs]
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Kh. P. Gnatenko, H. P. Laba, V. M. Tkachuk
Geometric properties of evolutionary graph states and their detection on a quantum computer
Phys. Lett. A
452, 128434 [6 p.] (2022)
[abs]
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M. I. Samar, V. M. Tkachuk
Regularization of δ′ potential in general case of deformed space with minimal length
J. Phys. A: Math. Theor.
55, No. 41, 415201 [14 p.] (2022)
[abs]
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Kh. P. Gnatenko, V. M. Tkachuk
Weak equivalence principle in quantum space
Front. Astron. Space Sci.
9, 950468 [8 p.] (2022)
[abs]
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Kh. P. Gnatenko, H. P. Laba, V. M. Tkachuk
Detection of energy levels of a spin system on a quantum computer by probe spin evolution
Eur. Phys. J. Plus
137, No. 4, 522 [10 p.] (2022)
[abs]
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Kh. P. Gnatenko, H. P. Laba, V. M. Tkachuk
Energy levels estimation on a quantum computer by evolution of a physical quantity
Phys. Lett. A
424, 127843 [7 p.] (2022)
[abs]
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Kh. P. Gnatenko, H. P. Laba, V. M. Tkachuk
Detecting energy levels of spin systems on IBM's quantum computer by evolution of mean value of physical quantity
Proceedings - 2021 IEEE International Conference on Quantum Computing and Engineering, QCE 2021, Virtual, Online, 17 October 2021 through 22 October 2021
433-434 (2021)
[abs]
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Kh. P. Gnatenko, N. A. Susulovska, V. M. Tkachuk
Parameters of the deformed algebra with minimal uncertainties in position and momentum and the weak equivalence principle
Visnyk Lviv Univ. Ser. Phys.
58, 30-38 (2021)
[abs]
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A. R. Kuzmak, V. M. Tkachuk
Measuring entanglement of a rank-2 mixed state prepared on a quantum computer
Eur. Phys. J. Plus
136, No. 5, 564 [12 p.] (2021)
[abs]
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Kh. P. Gnatenko, V. M. Tkachuk
Entanglement of graph states of spin system with Ising interaction and its quantifying on IBM's quantum computer
Phys. Lett. A
396, 127248 (2021)
[abs]
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H. P. Laba, V. M. Tkachuk
Exact continuity equation in a space with minimal length
Phys. Lett. A
391, 127141 [7 p.] (2021)
[abs]
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A. R. Kuzmak, V. M. Tkachuk
Preparation and study of the entanglement of the Schrödinger cat state on the ibmq-melbourne quantum computer
Condens. Matter Phys.
23, No. 4, 43001 [7 p.] (2020)
[abs]
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H. P. Laba, V. M. Tkachuk
Entangled states in supersymmetric quantum mechanics
Mod. Phys. Lett. A
35, No. 34, 2050282 [9 p.] (2020)
[abs]
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M. I. Samar, V. M. Tkachuk
Regularization of 1/X2 potential in general case of deformed space with minimal length
J. Math. Phys.
61, No. 9, 092101 [10 p.] (2020)
[abs]
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M. I. Samar, V. M. Tkachuk
Kepler problem in space with deformed Lorentz-covariant Poisson brackets
Found. Phys.
50, No. 9, 942–959 (2020)
[abs]
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A. R. Kuzmak, V. M. Tkachuk
Detecting entanglement by the mean value of spin on a quantum computer
Phys. Lett. A
384, No. 24, 126579 [6 p.] (2020)
[abs]
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Kh. P. Gnatenko, V. M. Tkachuk
Kinetic energy properties and weak equivalence principle in a space with generalized uncertainty principle
Mod. Phys. Lett. A
35, No. 13, 2050096 [12 p.] (2020)
[abs]
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A. R. Kuzmak, V. M. Tkachuk
Probing the Lee–Yang zeros of a spin bath by correlation functions and entanglement of two spins
J. Phys. B: At. Mol. Opt. Phys.
52, No. 20, 205501 [9 pp.] (2019)
[abs]
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Kh. P. Gnatenko, V. M. Tkachuk
Upper bound on the momentum scale in noncommutative phase space of canonical type
EPL (Europhysics Letters)
127, No. 2, 20008 [7 p.] (2019)
[abs]
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Kh. P. Gnatenko, V. M. Tkachuk
Minimal length estimation on the basis of studies of the Sun-Earth-Moon system in deformed space
Int. J. Mod. Phys. D
28, No. 8, 1950107 [13 p.] (2019)
[abs]
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Kh. P. Gnatenko, V. M. Tkachuk
Macroscopic body in the Snyder space and minimal length estimation
EPL (Europhysics Letters)
125, No. 5, 50003 [5 p.] (2019)
[abs]
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A. R. Kuzmak, V. M. Tkachuk
Detecting the Lee-Yang zeros of a high-spin system by the evolution of probe spin
EPL (Europhysics Letters)
125, No. 1, 10004 [7 p.] (2019)
[abs]
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Kh. P. Gnatenko, M. I. Samar, V. M. Tkachuk
Time-reversal and rotational symmetries in noncommutative phase space
Phys. Rev. A
99, No. 1, 012114 [6 p.] (2019)
[abs]
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Kh. P. Gnatenko, V. M. Tkachuk
Influence of noncommutativity on the motion of Sun-Earth-Moon system and the weak equivalence principle
Int. J. Theor. Phys.
57, No. 11, 3359–3368 (2018)
[abs]
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H. P. Laba, V. M. Tkachuk
Geometric measure of mixing of quantum state
Condens. Matter Phys.
21, No. 3, 33003 [4 p.] (2018)
[abs]
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Kh. P. Gnatenko, H. P. Laba, V. M. Tkachuk
Features of free particles system motion in noncommutative phase space and conservation of the total momentum
Mod. Phys. Lett. A
33, No. 23, 1850131 [12 p.] (2018)
[abs]
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H. P. Laba, V. M. Tkachuk
Exact energy spectrum of the generalized Dirac oscillator in an electric field
Eur. Phys. J. Plus
133, No. 7, 279 [4 p.] (2018)
[abs]
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Kh. P. Gnatenko, A. Kargol, V. M. Tkachuk
Lee–Yang zeros and two-time spin correlation function
Physica A
509, 1095-1101 (2018)
[abs]
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Kh. P. Gnatenko, V. M. Tkachuk
Length in a noncommutative phase space
Ukr. J. Phys.
63, No. 2, 102-109 (2018)
[abs]
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Kh. P. Gnatenko, V. M. Tkachuk
Composite system in rotationally invariant noncommutative phase space
Int. J. Mod. Phys. A
33, No. 7, 1850037 [21 p.] (2018)
[abs]
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Kh. P. Gnatenko, A. Kargol, V. M. Tkachuk
Time correlation functions and Fisher zeros for q-deformed Bose gas
EPL (Europhysics Letters)
120, No. 3, 30004 [6 p.] (2017)
[abs]
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M. I. Samar, V. M. Tkachuk
Exact solutions for two-body problems in 1D deformed space with minimal length
J. Math. Phys.
58, No. 12, 122108 [9 p.] (2017)
[abs]
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Kh. P. Gnatenko, V. M. Tkachuk
Many-particle system in a rotationally-invariant space with canonical noncommutativity of coordinates
J. Phys. Stud.
21, No. 4, 4002 [7 p.] (2017)
[full text]
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Kh. P. Gnatenko, V. M. Tkachuk
Two-particle system with harmonic oscillator interaction in noncommutative phase space
J. Phys. Stud.
21, No. 3, 3001 [6 p.] (2017)
[full text]
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Kh. P. Gnatenko, V. M. Tkachuk
Noncommutative phase space with rotational symmetry and hydrogen atom
Int. J. Mod. Phys. A
32, No. 26, 1750161 [15 p.] (2017)
[abs]
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A. M. Frydryszak, M. I. Samar, V. M. Tkachuk
Quantifying geometric measure of entanglement by mean value of spin and spin correlations with application to physical systems
Eur. Phys. J. D
71, No. 9, 233 [8 p.] (2017)
[abs]
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Kh. P. Gnatenko, A. Kargol, V. M. Tkachuk
Two-time correlation functions and the Lee-Yang zeros for an interacting Bose gas
Phys. Rev. E
96, No. 3, 032116 [6 p.] (2017)
[abs]
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Kh. P. Gnatenko, V. M. Tkachuk
Weak equivalence principle in noncommutative phase space and the parameters of noncommutativity
Phys. Lett. A
381, No. 31, 2463–2469 (2017)
[abs]
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V. M. Vasyuta, V. M. Tkachuk
Inverse square potential in a space with spin noncommutativity of coordinates
Ukr. J. Phys.
62, No. 4, 343-348 (2017)
[abs]
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H. P. Laba, V. M. Tkachuk
Geometric characteristics of quantum evolution: curvature and torsion
Condens. Matter Phys.
20, No. 1, 13003 [7 p.] (2017)
[abs]
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V. M. Vasyuta, V. M. Tkachuk
Falling of a quantum particle in an inverse square attractive potential
Eur. Phys. J. D
70, No. 12, 267 [5 p.] (2016)
[abs]
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V. M. Tkachuk
Galilean and Lorentz transformations in a space with Generalized Uncertainty Principle
Found. Phys.
46, No. 12, 1666-1679 (2016)
[abs]
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V. M. Tkachuk
From the foundations of quantum mechanics to quantum information
Obriji Nauky [Horizons of Science] / Ed. by Yurij Holovatch and Yaroslav Hrytsak,
35-46 (Lviv: Ukrainian Catholic University Press, 2016)
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V. M. Vasyuta, V. M. Tkachuk
Classical electrodynamics in a space with spin noncommutativity of coordinates
Phys. Lett. B
761, 462-468 (2016)
[abs]
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M. I. Samar, V. M. Tkachuk
One-dimensional Coulomb-like problem in general case of deformed space with minimal length
J. Math. Phys.
57, No. 8, 082108 [12 p.] (2016)
[abs]
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Kh. P. Gnatenko, V. M. Tkachuk
Two-particle system in noncommutative space with preserved rotational symmetry
Ukr. J. Phys.
61, No. 5, 432-439 (2016)
[Ukr. Fiz. Zhurn. 61, 439-446 (2016)]
[abs]
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Kh. P. Gnatenko, V. M. Tkachuk
Minimal length, area, and volume in a space with noncommutativity of coordinates
J. Phys. Stud.
20, No. 1/2, 1001 [5 p.] (2016)
[abs]
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H. P. Laba, K. O. Chaban, V. M. Tkachuk
Electromagnetic modes in waveguides and quantum mechanics
in: Modern Problems of Radio Engineering, Telecommunications, and Computer Science: Proceedings of the XIIIth International Conference TCSET'2016, February 23-26, 2016, Lviv-Slavske, Ukraine. Lviv: Publishing House of Lviv Polytechnic
202-205 (2016)
[abs]
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M. I. Samar, V. M. Tkachuk
Exactly solvable problems in the momentum space with a minimum uncertainty in position
J. Math. Phys.
57, No. 4, 042102 [8 p.] (2016)
[abs]
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Kh. P. Gnatenko, V. M. Tkachuk
Effect of coordinate noncommutativity on the mass of a particle in a uniform field and the equivalence principle
Mod. Phys. Lett. A
31, No. 5, 1650026 [9 p.] (2016)
[abs]
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A. R. Kuzmak, V. M. Tkachuk
Geometry of a two-spin quantum state in evolution
J. Phys. A: Math. Theor.
49, No. 4, 045301 [8 p.] (2016)
[abs]
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O. O. Voznyak, V. M. Tkachuk
Quasi-exactly solvable potentials with arbitrary two known eigenstates for systems with position-dependent mass
J. Phys. Stud.
19, No. 3, 3002 [8 p.] (2015)
[abs]
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V. M. Tkachuk, O. O. Voznyak
Effective Hamiltonian with position-dependent mass and ordering problem
Eur. Phys. J. Plus
130, No. 8, 161 [4 p.] (2015)
[abs]
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A. R. Kuzmak, V. M. Tkachuk
The quantum brachistochrone problem for an arbitrary spin in a magnetic field
Phys. Lett A
379, No. 18-19, 1233–1239 (2015)
[abs]
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Kh. P. Gnatenko, Yu. S. Krynytskyi, V. M. Tkachuk
Perturbation of the ns levels of the hydrogen atom in rotationally invariant noncommutative space
Mod. Phys. Lett. A
30, No. 8, 1550033 [12 p.] (2015)
[abs]
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Kh. P. Gnatenko, V. M. Tkachuk
Hydrogen atom in rotationally invariant noncommutative space
Phys. Lett. A
378, No. 47, 3509-3515 (2014)
[abs]
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A. R. Kuzmak, V. M. Tkachuk
Preparation of quantum states of two spin-½ particles in the form of the Schmidt decomposition
Phys. Lett. A
378, No. 21, 1469-1474 (2014)
[abs]
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H. P. Laba, V. M. Tkachuk
Quantum-mechanical analogy and supersymmetry of electromagnetic wave modes in planar waveguides
Phys. Rev. A
89, No. 3, 033826 [4 p.] (2014)
[abs]
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A. Nowicki, V. M. Tkachuk
Relation of deformed nonlinear algebras with linear ones
J. Phys. A: Math. Theor.
47, 025207 [11 p.] (2014)
[abs]
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H. P. Laba, V. M. Tkachuk
Quantum mechanical analogy of light propagation in planar waveguides
J. Phys. Stud.
17, No. 2, 2401 [4 p.] (2013)
[full text]
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A. R. Kuzmak, V. M. Tkachuk
The quantum brachistochrone problem for two spins-½ with anisotropic Heisenberg interaction
J. Phys. A: Math. Theor.
46, 155305 [12 p.] (2013)
[abs]
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A. R. Kuzmak, V. M. Tkachuk
Quantum evolution on torus for two spins with isotropic Heisenberg interaction
Visnyk Lviv Univ. Ser. Phys.
48, 279-284 (2013)
[full text]
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V. M. Tkachuk
Deformed Heisenberg algebra with minimal length and the equivalence principle
Phys. Rev. A
86, 062112 [4 p.] (2012)
[abs]
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O. O. Voznyak, V. M. Tkachuk
Quasi-exactly solvable potentials for a particle with a position-dependent mass
J. Phys. Stud.
16, No. 1/2, 1003 [10 p.] (2012)
[full text]
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T. Masłowski, A. Nowicki, V. M. Tkachuk
Deformed Heisenberg algebra and minimal length
J. Phys. A: Math. Theor.
45, 075309 [5 p.] (2012)
[abs]
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V. M. Tkachuk
Nonuniform Zeno effect
J. Phys. Stud.
15, No. 1, 1001 [3 p.] (2011)
[full text]
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M. I. Samar, V. M. Tkachuk
Perturbation hydrogen-atom spectrum in a space with the Lorentz-covariant deformed algebra with minimal length
J. Phys. Stud.
14, No. 1, 1001 [5 p.] (2010)
[full text]
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C. Quesne, V. M. Tkachuk
Composite system in deformed space with minimal length
Phys. Rev. A
81, No. 1, 012106 [8 p.] (2010)
[abs]
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V. M. Tkachuk, S. I. Vakarchuk
Supersymmetry of Pauli Hamiltonian and entanglement
J. Phys. Stud.
12, No. 4, 4004 [3 p.] (2008)
[full text]
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M. M. Stetsko, V. M. Tkachuk
Orbital magnetic moment of the electron in the hydrogen atom in a deformed space with minimal length
Phys. Lett. A
372, No. 31, 5126-5130 (2008)
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A. M. Frydryszak, V. M. Tkachuk
Quantum brachistochrone problem for a spin-1 system in a magnetic field
Phys. Rev. A
77, No. 1, 014103 [4 p.] (2008)
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T. V. Fityo, I. O. Vakarchuk, V. M. Tkachuk
The WKB approximation in the deformed space with the minimal length and minimal momentum
J. Phys. A: Math. Theor.
41, No. 4, 045305 [6 p.] (2008)
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V. M. Tkachuk
Field equation in a deformed space with minimal length
J. Phys. Stud.
11, No. 1, 41-44 (2007)
[abs]
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M. M. Stetsko, V. M. Tkachuk
Scattering problem in deformed space with minimal length
Phys. Rev. A
76, No. 1, 012707 [7 p.] (2007)
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C. Quesne, V. M. Tkachuk
Generalized deformed commutation relations with nonzero minimal uncertainties in position and/or momentum and applications to quantum mechanics
SIGMA
3, 016 [18 p.] (2007)
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C. Quesne, V. M. Tkachuk
Lorentz-covariant deformed algebra with minimal length
Czechoslovak J. Phys.
56, No. 10/11, 1269-1274 (2006)
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V. M. Tkachuk, S. I. Vakarchuk
Pauli equation with position-dependent mass
J. Phys. Stud.
10, No. 2, 81-85 (2006)
[full text]
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C. Quesne, B. Bagchi, A. Banerjee, V. M. Tkachuk
Hamiltonian with position-dependent mass, deformations and supersymmetry
in: Quantum Theory and Symmetries IV, Vol. 2: Proceedings of the IV International Symposium. Varna, Bulgaria, 15-21 August 2005. Ed. V. K. Dobrev (Heron Press, Sofia)
622-632 (2006)
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C. Quesne, B. Bagchi, A. Banerjee, V. M. Tkachuk
Hamiltonians with position-dependent mass, deformations and supersymmetry
Bulg. J. Phys.
33, No. 4, 308-318 (2006)
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C. Quesne, V. M. Tkachuk
Lorentz-covariant deformed algebra with minimal length and application to the (1 + 1)-dimensional Dirac oscillator
J. Phys. A: Math. Gen.
39, 10909-10922 (2006)
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M. M. Stetsko, V. M. Tkachuk
Perturbation hydrogen-atom spectrum in deformed space with minimal length
Phys. Rev. A
74, No. 1, 012101 [5 p.] (2006)
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T. V. Fityo, I. O. Vakarchuk, V. M. Tkachuk
One-dimensional Coulomb-like problem in deformed space with minimal length
J. Phys. A: Math. Gen.
39, 2143-2149 (2006)
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T. V. Fityo, I. O. Vakarchuk, V. M. Tkachuk
WKB approximation in deformed space with minimal length
J. Phys. A: Math. Gen.
39, 379-387 (2006)
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T. V. Fityo, V. M. Tkachuk
Time-dependent Schrödinger equation with one know solution
J. Phys. Stud.
9, No. 4, 299-303 (2005)
[full text]
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B. Bagchi, A. Banerjee, C. Quesne, V. M. Tkachuk
Deformed shape invariance and exactly solvable Hamiltonians with position-dependent effective mass
J. Phys. A: Math. Gen.
38, 2929-2945 (2005)
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C. Quesne and V. M. Tkachuk
Dirac oscillator with nonzero minimal uncertainty in position
J. Phys. A: Math. Gen.
38, 1747-1765 (2005)
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C. Quesne, V. M. Tkachuk
More on a SUSYQM approach to the harmonic oscillator with nonzero minimal uncertainties in position and/or momentum
J. Phys. A: Math. Gen.
37, 10095-10113 (2004)
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O. O. Voznyak, V. M. Tkachuk
Quasi-exactly solvable disordered KronigPenney model
J. Phys. Stud.
8, No. 1, 16-22 (2004)
[full text]
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C. Quesne and V. M. Tkachuk
Deformed algebras, position-dependent effective masses and curved spaces: an exactly solvable Coulomb problem
J. Phys. A: Math. Gen.
37, No. 14, 4267-4281 (2004)
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C. Quesne, K. A. Penson and V. M. Tkachuk
Comment on: "Maths-type q-deformed coherent states for q > 1": [Phys. Lett. A 313 (2003) 29]
Phys. Lett. A
322, Issues 5-6, 402-404 (2004)
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C. Quesne, K. A. Penson, V. M. Tkachuk
Revisiting maths-type q-deformed coherent states
in: Proceedings of the 8th International Conference on Squeezed States and Uncertainty Relations. Puebla, Mexico-June 9-13, 2003. Eds. H. Moya-Cessa, R. Jáuregui, S. Hacyan and O. Castaños. (Rinton Press, Paramus, NJ).
336-341 (2003)
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A. M. Frydryszak, V. M. Tkachuk
Aspects of pre-quantum description of deformed theories
Czechoslovak J. Phys.
53, No. 11, 1035-1040 (2003)
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C. Quesne, V. M. Tkachuk
Harmonic oscillator with nonzero minimal uncertainties in both position and momentum in a SUSYQM framework
J. Phys. A: Math. Gen.
36, 10373-10389 (2003)
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C. Quesne, K. A. Penson, V. M. Tkachuk
Maths-type q-deformed coherent states for q > 1
Phys. Lett. A
313, 29-36 (2003)
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V. M. Tkachuk, T. V. Fityo
Multidimensional quasi-exactly solvable potentials with two known eigenstates
Phys. Lett. A
309, 351-356 (2003)
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V. M. Tkachuk, O. O. Voznyak
Quasi-exactly solvable periodic and random potentials
Phys. Lett. A
301, 177-183 (2002)
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V. M. Tkachuk, S. I. Vakarchuk
Quasi-exactly solvable Pauli equation
J. Phys. Stud.
6, No. 2, 147-152 (2002)
[full text]
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V. M. Tkachuk, O. O. Voznyak
Supersymmetric approach for generating quasi-exactly solvable periodic potentials
J. Phys. Stud.
6, No. 1, 40-45 (2002)
[full text]
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A. M. Frydryszak, V. M. Tkachuk
Lie symmetry, discrete symmetry and supersummetry of the Pauli Hamiltonian
Czechoslovak J. Phys.
51, No. 12, 1325-1329 (2001)
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V. M. Tkachuk, T. V. Fityo
Factorization and superpotential of the PT symmetric Hamiltonian
J. Phys. A: Math. Gen.
34, 8673-8677 (2001)
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V. M. Tkachuk
Supersymmetric approach for generating quasi-exactly solvable potentials with arbitrary two known eigenstates
J. Phys. A: Math. Gen.
34, 6339-6348 (2001)
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V. M. Tkachuk, S. I. Vakarchuk
Ground state of the electron in the magnetic field of a straight current
J. Phys. A: Math. Gen.
34, 653-662 (2001)
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V. M. Tkachuk
Quantum topological phase of an electric dipole circulating around a ferromagnetic wire
Phys. Rev. A
62, 052112 [3 p.] (2000)
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V. M. Tkachuk, P. Roy
Motion of a spin-½ particle in shape invariant scalar and magnetic fields
J. Phys. A
33 , 4159-4167 (2000)
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V. M. Tkachuk
Binding of neutral atoms to ferromagnetic wire
Phys. Rev. A
60, 4715-4717 (1999)
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V. M. Tkachuk, S. I. Vakarchuk
Broken supersymmetry for the electron in the magnetic field of straight current
J. Phys. Stud.
3, 291-294 (1999)
[full text]
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V. M. Tkachuk, P. Roy
Supersymmetry of a spin ½ particle on the real line
Phys. Lett. A
263, 245-249 (1999)
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V. M. Tkachuk
Supersymmetric method for constructing quasi-exactly solvable potentials
Condens. Matter Phys.
2, No. 2(18), 197-204 (1999)
[abs]
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T. V. Kuliy, V. M. Tkachuk
Quasi-exactly solvable potentials with three known eigenstates
J. Phys. A
32, No. 11, 2157-2169 (1999)
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V. M. Tkachuk
Supersymmetric method for constructing quasi-exactly and conditionally-exactly solvable potentials
J. Phys. A
32, No. 7, 1291-1300 (1999)
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V. M. Tkachuk
Quasi-exactly solvable potentials with two known eigenstates
Phys. Lett. A
245, 177-182 (1998)
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I. O. Vakarchuk, V. M. Tkachuk, T. V. Kuliy
Magnetic properties of dilute alloys: Equations for magnetization and its structural fluctuations
Phys. Stat. Solidi (b)
208, 167-186 (1998)
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V. M. Tkachuk
Supersymmetry of a nonstationary Pauli equation
J. Phys. A: Math. Gen.
31, 1859-1866 (1998)
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V. M. Tkachuk, S. I. Vakarchuk
Supersymmetry of the electron in a three-dimensional magnetic field
Phys. Lett. A
228, 141-145 (1997)
[abs]
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V. M. Tkachuk
Supercharges in the case of electron motion in nonstationary magnetic field
J. Phys. Stud.
1, 314-316 (1997)
[full text]
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V. M. Tkachuk, S. I. Vakarchuk
The N = 4 supersymmetry of electron in the magnetic field
J. Phys. Stud.
1, No. 1, 39-41 (1996)
[full text]
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I. O. Vakarchuk, V. M. Tkachuk, T. V. Kuliy
The influence of structure disorder on mean atomic momentum fluctuations and the spin-wave spectrum
J. Magn. Magn. Matter.
146, 191-194 (1995)
[abs]
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V. M. Tkachuk
The supersymmetry representation for correlation function of disordered systems
Condens. Matter Phys.
Iss. 6, 123-136 (1995)
[abs]
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I. O. Vakarchuk, V. M. Myhal, V. M. Tkachuk
Electron-phonon interaction influence on electron and phonon excitations in amorphous metals
Phys. Stat. Sol. (b)
185, 101-115 (1994)
[abs]
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I. O. Vakarchuk, V. M. Tkachuk, T. V. Kuliy
The influence of spins' structure fluctuation on the spectrum and damping of spin waves in amorphous ferromagnets
Condens. Matter Phys.
Iss. 3, 176-180 (1994)
[abs]