Publications by V. M. Tkachuk

  1. Kh. P. Gnatenko, V. M. Tkachuk
    Length in a noncommutative phase space
    Ukr. J. Phys. 63, No. 2, 102-109 (2018)
    [abs]
  2. 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]
  3. 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]
  4. 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]
  5. 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)
    [abs]
  6. 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)
    [abs]
  7. 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]
  8. 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]
  9. 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]
  10. Kh. P. Gnatenko, V. M. Tkachuk
    Weak equivalence principle in noncommutative phase space and the parameters of noncommutativity
    Phys. Lett. A 381, No. 31, 24632469 (2017)
    [abs]
  11. 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]
  12. 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]
  13. 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]
  14. V. M. Tkachuk
    Galilean and Lorentz transformations in a space with Generalized Uncertainty Principle
    Found. Phys. 46, No. 12, 1666-1679 (2016)
    [abs]
  15. 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)
  16. V. M. Vasyuta, V. M. Tkachuk
    Classical electrodynamics in a space with spin noncommutativity of coordinates
    Phys. Lett. B 761, 462-468 (2016)
    [abs]
  17. 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)
  18. 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]
  19. 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)
  20. 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]
  21. 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)
  22. 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]
  23. 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]
  24. 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)
  25. 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)
  26. 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, 12331239 (2015)
    [abs]
  27. 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]
  28. Kh. P. Gnatenko, V. M. Tkachuk
    Hydrogen atom in rotationally invariant noncommutative space
    Phys. Lett. A 378, No. 47, 3509-3515 (2014)
  29. 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)
  30. 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)
  31. A. Nowicki, V. M. Tkachuk
    Relation of deformed nonlinear algebras with linear ones
    J. Phys. A: Math. Theor. 47, 025207 [11 p.] (2014)
  32. 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)
  33. 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)
  34. 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)
  35. V. M. Tkachuk
    Deformed Heisenberg algebra with minimal length and the equivalence principle
    Phys. Rev. A 86, 062112 [4 p.] (2012)
  36. 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)
  37. T. Masłowski, A. Nowicki, V. M. Tkachuk
    Deformed Heisenberg algebra and minimal length
    J. Phys. A: Math. Theor. 45, 075309 (2012)
  38. V. M. Tkachuk
    Nonuniform Zeno effect
    J. Phys. Stud. 15, No. 1, 1001 [3 p.] (2011)
  39. 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)
  40. C. Quesne, V. M. Tkachuk
    Composite system in deformed space with minimal length
    Phys. Rev. A 81, No. 1, 012106 [8 p.] (2010)
  41. V. M. Tkachuk, S. I. Vakarchuk
    Supersymmetry of Pauli Hamiltonian and entanglement
    J. Phys. Stud. 12, No 4, 4004 [3 p.] (2008) (in Ukrainian)
  42. 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)
  43. 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)
  44. 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)
  45. V. M. Tkachuk
    Field equation in a deformed space with minimal length
    J. Phys. Stud. 11, No. 1, 41-44 (2007) (in Ukrainian)
  46. M. M. Stetsko, V. M. Tkachuk
    Scattering problem in deformed space with minimal length
    Phys. Rev. A 76, No. 1, 012707 [7 p.] (2007)
  47. 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)
  48. C. Quesne, V. M. Tkachuk
    Lorentz-covariant deformed algebra with minimal length
    Czechoslovak J. Phys. 56, No. 10/11, 1269-1274 (2006)
  49. V. M. Tkachuk, S. I. Vakarchuk
    Pauli equation with position-dependent mass
    J. Phys. Stud. 10, No. 2, 81-85 (2006) (in Ukrainian)
  50. 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)
  51. 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)
  52. 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)
  53. 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)
  54. 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)
  55. 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)
  56. T. V. Fityo, V. M. Tkachuk
    Time-dependent Schrödinger equation with one know solution
    J. Phys. Stud. 9, No. 4, 299-303 (2005)
  57. 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)
  58. C. Quesne and V. M. Tkachuk
    Dirac oscillator with nonzero minimal uncertainty in position
    J. Phys. A: Math. Gen. 38, 1747-1765 (2005)
  59. 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)
  60. O. O. Voznyak, V. M. Tkachuk
    Quasi-exactly solvable disordered Kronig–Penney model
    J. Phys. Stud. 8, No. 1, 16-22 (2004)
  61. 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)
  62. 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)
  63. 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)
  64. A. M. Frydryszak, V. M. Tkachuk
    Aspects of pre-quantum description of deformed theories
    Czechoslovak J. Phys. 53, No. 11, 1035-1040 (2003)
  65. 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)
  66. C. Quesne, K. A. Penson, V. M. Tkachuk
    Maths-type q-deformed coherent states for q > 1
    Phys. Lett. A 313, 29-36 (2003)
  67. V. M. Tkachuk, T. V. Fityo
    Multidimensional quasi-exactly solvable potentials with two known eigenstates
    Phys. Lett. A 309, 351-356 (2003)
  68. V. M. Tkachuk, O. O. Voznyak
    Quasi-exactly solvable periodic and random potentials
    Phys. Lett. A 301, 177-183 (2002)
  69. V. M. Tkachuk, S. I. Vakarchuk
    Quasi-exactly solvable Pauli equation
    J. Phys. Stud. 6, No. 2, 147-152 (2002)
  70. V. M. Tkachuk, O. O. Voznyak
    Supersymmetric approach for generating quasi-exactly solvable periodic potentials
    J. Phys. Stud. 6, No. 1, 40-45 (2002)
  71. 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)
  72. V. M. Tkachuk, T. V. Fityo
    Factorization and superpotential of the PT symmetric Hamiltonian
    J. Phys. A: Math. Gen. 34, 8673-8677 (2001)
  73. 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)
  74. 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)
  75. V. M. Tkachuk
    Quantum topological phase of an electric dipole circulating around a ferromagnetic wire
    Phys. Rev. A 62, 052112 [3 p.] (2000)
  76. 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)
  77. V. M. Tkachuk
    Binding of neutral atoms to ferromagnetic wire
    Phys. Rev. A 60, 4715-4717 (1999)
  78. 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)
  79. V. M. Tkachuk, P. Roy
    Supersymmetry of a spin ½ particle on the real line
    Phys. Lett. A 263, 245-249 (1999)
  80. V. M. Tkachuk
    Supersymmetric method for constructing quasi-exactly solvable potentials
    Condens. Matter Phys. 2, No. 2(18), 197-204 (1999)
  81. T. V. Kuliy, V. M. Tkachuk
    Quasi-exactly solvable potentials with three known eigenstates
    J. Phys. A 32, No. 11, 2157-2169 (1999)
  82. V. M. Tkachuk
    Supersymmetric method for constructing quasi-exactly and conditionally-exactly solvable potentials
    J. Phys. A 32, No. 7, 1291-1300 (1999)
  83. V. M. Tkachuk
    Quasi-exactly solvable potentials with two known eigenstates
    Phys. Lett. A 245, 177-182 (1998)
  84. 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)
  85. V. M. Tkachuk
    Supersymmetry of a nonstationary Pauli equation
    J. Phys. A: Math. Gen. 31, 1859-1866 (1998)
  86. V. M. Tkachuk, S. I. Vakarchuk
    Supersymmetry of the electron in a three-dimensional magnetic field
    Phys. Lett. A 228, 141-145 (1997)
  87. V. M. Tkachuk
    Supercharges in the case of electron motion in nonstationary magnetic field
    J. Phys. Stud. 1, 314-316 (1997) (in Ukrainian)
  88. 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)
  89. 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)
  90. V. M. Tkachuk
    The supersymmetry representation for correlation function of disordered systems
    Condens. Matter Phys. Iss. 6, 123-136 (1995)
  91. 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)
  92. 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)