Publications by V. M. Tkachuk

  1. 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]
  2. 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]
  3. 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]
  4. 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]
  5. 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]
  6. 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]
  7. Kh. P. Gnatenko, V. M. Tkachuk
    Weak equivalence principle in quantum space
    Front. Astron. Space Sci. 9, 950468 [8 p.] (2022)
    [abs]
  8. 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]
  9. 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]
  10. 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]
  11. 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]
  12. 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]
  13. 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]
  14. H. P. Laba, V. M. Tkachuk
    Exact continuity equation in a space with minimal length
    Phys. Lett. A 391, 127141 [7 p.] (2021)
    [abs]
  15. 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]
  16. H. P. Laba, V. M. Tkachuk
    Entangled states in supersymmetric quantum mechanics
    Mod. Phys. Lett. A 35, No. 34, 2050282 [9 p.] (2020)
    [abs]
  17. 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]
  18. 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]
  19. 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]
  20. 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]
  21. 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]
  22. 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]
  23. 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]
  24. 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]
  25. 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]
  26. 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]
  27. 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]
  28. H. P. Laba, V. M. Tkachuk
    Geometric measure of mixing of quantum state
    Condens. Matter Phys. 21, No. 3, 33003 [4 p.] (2018)
    [abs]
  29. 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]
  30. 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]
  31. Kh. P. Gnatenko, A. Kargol, V. M. Tkachuk
    Lee–Yang zeros and two-time spin correlation function
    Physica A 509, 1095-1101 (2018)
    [abs]
  32. Kh. P. Gnatenko, V. M. Tkachuk
    Length in a noncommutative phase space
    Ukr. J. Phys. 63, No. 2, 102-109 (2018)
    [abs]
  33. 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]
  34. 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]
  35. 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]
  36. 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]
  37. 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]
  38. 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]
  39. 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]
  40. 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]
  41. 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]
  42. 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]
  43. 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]
  44. 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]
  45. V. M. Tkachuk
    Galilean and Lorentz transformations in a space with Generalized Uncertainty Principle
    Found. Phys. 46, No. 12, 1666-1679 (2016)
    [abs]
  46. 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)
  47. V. M. Vasyuta, V. M. Tkachuk
    Classical electrodynamics in a space with spin noncommutativity of coordinates
    Phys. Lett. B 761, 462-468 (2016)
    [abs]
  48. 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]
  49. 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]
  50. 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]
  51. 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]
  52. 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]
  53. 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]
  54. 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]
  55. 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]
  56. 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]
  57. 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]
  58. 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]
  59. Kh. P. Gnatenko, V. M. Tkachuk
    Hydrogen atom in rotationally invariant noncommutative space
    Phys. Lett. A 378, No. 47, 3509-3515 (2014)
    [abs]
  60. 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]
  61. 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]
  62. A. Nowicki, V. M. Tkachuk
    Relation of deformed nonlinear algebras with linear ones
    J. Phys. A: Math. Theor. 47, 025207 [11 p.] (2014)
    [abs]
  63. 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]
  64. 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]
  65. 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]
  66. V. M. Tkachuk
    Deformed Heisenberg algebra with minimal length and the equivalence principle
    Phys. Rev. A 86, 062112 [4 p.] (2012)
    [abs]
  67. 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]
  68. T. Masłowski, A. Nowicki, V. M. Tkachuk
    Deformed Heisenberg algebra and minimal length
    J. Phys. A: Math. Theor. 45, 075309 [5 p.] (2012)
    [abs]
  69. V. M. Tkachuk
    Nonuniform Zeno effect
    J. Phys. Stud. 15, No. 1, 1001 [3 p.] (2011)
    [full text]
  70. 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]
  71. C. Quesne, V. M. Tkachuk
    Composite system in deformed space with minimal length
    Phys. Rev. A 81, No. 1, 012106 [8 p.] (2010)
    [abs]
  72. V. M. Tkachuk, S. I. Vakarchuk
    Supersymmetry of Pauli Hamiltonian and entanglement
    J. Phys. Stud. 12, No. 4, 4004 [3 p.] (2008)
    [full text]
  73. 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)
  74. 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)
  75. 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)
  76. V. M. Tkachuk
    Field equation in a deformed space with minimal length
    J. Phys. Stud. 11, No. 1, 41-44 (2007)
    [abs]
  77. M. M. Stetsko, V. M. Tkachuk
    Scattering problem in deformed space with minimal length
    Phys. Rev. A 76, No. 1, 012707 [7 p.] (2007)
  78. 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)
  79. C. Quesne, V. M. Tkachuk
    Lorentz-covariant deformed algebra with minimal length
    Czechoslovak J. Phys. 56, No. 10/11, 1269-1274 (2006)
  80. V. M. Tkachuk, S. I. Vakarchuk
    Pauli equation with position-dependent mass
    J. Phys. Stud. 10, No. 2, 81-85 (2006)
    [full text]
  81. 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)
  82. 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)
  83. 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)
  84. 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)
  85. 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)
  86. 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)
  87. 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]
  88. 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)
  89. C. Quesne and V. M. Tkachuk
    Dirac oscillator with nonzero minimal uncertainty in position
    J. Phys. A: Math. Gen. 38, 1747-1765 (2005)
  90. 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)
  91. O. O. Voznyak, V. M. Tkachuk
    Quasi-exactly solvable disordered Kronig–Penney model
    J. Phys. Stud. 8, No. 1, 16-22 (2004)
    [full text]
  92. 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)
  93. 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)
  94. 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)
  95. A. M. Frydryszak, V. M. Tkachuk
    Aspects of pre-quantum description of deformed theories
    Czechoslovak J. Phys. 53, No. 11, 1035-1040 (2003)
  96. 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)
  97. C. Quesne, K. A. Penson, V. M. Tkachuk
    Maths-type q-deformed coherent states for q > 1
    Phys. Lett. A 313, 29-36 (2003)
  98. V. M. Tkachuk, T. V. Fityo
    Multidimensional quasi-exactly solvable potentials with two known eigenstates
    Phys. Lett. A 309, 351-356 (2003)
  99. V. M. Tkachuk, O. O. Voznyak
    Quasi-exactly solvable periodic and random potentials
    Phys. Lett. A 301, 177-183 (2002)
  100. V. M. Tkachuk, S. I. Vakarchuk
    Quasi-exactly solvable Pauli equation
    J. Phys. Stud. 6, No. 2, 147-152 (2002)
    [full text]
  101. 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]
  102. 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)
  103. V. M. Tkachuk, T. V. Fityo
    Factorization and superpotential of the PT symmetric Hamiltonian
    J. Phys. A: Math. Gen. 34, 8673-8677 (2001)
  104. 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)
  105. 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)
  106. V. M. Tkachuk
    Quantum topological phase of an electric dipole circulating around a ferromagnetic wire
    Phys. Rev. A 62, 052112 [3 p.] (2000)
  107. 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)
  108. V. M. Tkachuk
    Binding of neutral atoms to ferromagnetic wire
    Phys. Rev. A 60, 4715-4717 (1999)
  109. 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]
  110. V. M. Tkachuk, P. Roy
    Supersymmetry of a spin ½ particle on the real line
    Phys. Lett. A 263, 245-249 (1999)
  111. V. M. Tkachuk
    Supersymmetric method for constructing quasi-exactly solvable potentials
    Condens. Matter Phys. 2, No. 2(18), 197-204 (1999)
    [abs]
  112. T. V. Kuliy, V. M. Tkachuk
    Quasi-exactly solvable potentials with three known eigenstates
    J. Phys. A 32, No. 11, 2157-2169 (1999)
  113. V. M. Tkachuk
    Supersymmetric method for constructing quasi-exactly and conditionally-exactly solvable potentials
    J. Phys. A 32, No. 7, 1291-1300 (1999)
  114. V. M. Tkachuk
    Quasi-exactly solvable potentials with two known eigenstates
    Phys. Lett. A 245, 177-182 (1998)
  115. 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)
  116. V. M. Tkachuk
    Supersymmetry of a nonstationary Pauli equation
    J. Phys. A: Math. Gen. 31, 1859-1866 (1998)
  117. V. M. Tkachuk, S. I. Vakarchuk
    Supersymmetry of the electron in a three-dimensional magnetic field
    Phys. Lett. A 228, 141-145 (1997)
    [abs]
  118. V. M. Tkachuk
    Supercharges in the case of electron motion in nonstationary magnetic field
    J. Phys. Stud. 1, 314-316 (1997)
    [full text]
  119. 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]
  120. 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]
  121. V. M. Tkachuk
    The supersymmetry representation for correlation function of disordered systems
    Condens. Matter Phys. Iss. 6, 123-136 (1995)
    [abs]
  122. 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]
  123. 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]