Publications by I. O. Vakarchuk

1. G. Panochko, V. S. Pastukhov, I. O. Vakarchuk
   Impurity self-energy in the strongly-correlated Bose systems
   Int. J. Mod. Phys. B 32, No. 5, 1850053 [9 p.] (2018)
   [abs]
2. G. Panochko, V. S. Pastukhov, I. O. Vakarchuk
   Behavior of the impurity atom in a weakly-interacting Bose gas
   Condens. Matter Phys. 20, No. 1, 13604 [11 p.] (2017)
   [abs]
3. I. O. Vakarchuk, G. Panochko
   The effective mass of an impurity atom in the Bose liquid with a deformed Heisenberg algebra
   Ukr. J. Phys. 62, No. 2, 123-131 (2017)
   [abs]
4. I. O. Vakarchuk, G. I. Panochko, V. S. Pastukhov
   Path-integrals method in the Bose-polaron problem
   Visnyk Lviv Univ. Ser. Phys. 52, 17-27 (2016)
   [full text]
5. I. O. Vakarchuk, O. I. Hryhorchak, V. S. Pastukhov, R. O. Prytula
   Effective mass of ⁴He atom in superfluid and normal phases
   Ukr. J. Phys. 61, No. 1, 29-37 (2016)
   [abs]
6. I. O. Vakarchuk, O. I. Hryhorchak
   Structure functions of many-boson system with regard for direct three- and four-particle correlations
   Ukr. J. Phys. 60, No. 11, 1115-1125 (2015)
   [abs]
7. I. O. Vakarchuk, G. I. Panochko
   Theory of a many-boson system with deformed Heisenberg algebra
   Condens. Matter Phys. 18, No. 3, 33002 [14 p.] (2015)
   [abs]
8. I. O. Vakarchuk, O. I. Hryhorchak
   Internal energy of the many-boson system with three- and four-particle direct correlations taken into account
   J. Phys. Stud. 19, No. 1/2, 1005 [14 p.] (2015)
   [abs]
9. I. O. Vakarchuk, Iu. M. Diakiv
   Differential cross-section of the photoelectric effect in the deformed electromagnetic field
   J. Phys. Stud. 18, No. 2/3, 2004 [5 p.] (2014)
   [full text]
10. I. O. Vakarchuk
    Five stories on astronomy and physics
    Svit Fizyky (World of Physics) No. 1, 3-8 (2014)
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11. I. O. Vakarchuk, V. S. Pastukhov, R. O. Prytula
    Theory of structure and thermodynamic function of liquid ⁴He (Review Article)
    Fiz. Nizk. Temp. 39, No. 9, 958-969 (2013)
    [Low Temp. Phys. 39, 741-751 (2013)]
    [abs]
12. I. O. Vakarchuk, V. S. Pastukhov, R. O. Prytula
    Theory of heat capacity of liquid helium-4 for temperatures above the critical point
    Ukr. Phys. J. 57, No. 12, 1214-1222 (2012)
    [abs]
13. I. O. Vakarchuk, G. I. Panochko
    Impurity states in a many-boson system
    J. Phys. Stud. 16, No. 4, 4601 [8 p.] (2012)
    [full text]
14. I. O. Vakarchuk
    Historical sketch of the creation of quantum theory
    Svit Fizyky (World of Physics) No. 1, 3-13 (2012)
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15. I. O. Vakarchuk, V. S. Pastukhov
    Random phase approximation for Bose systems above the temperature of phase transition
    J. Phys. Stud. 15, No. 3, 3003 [7 p.] (2011)
    [full text]
16. I. O. Vakarchuk, O. I. Hryhorchak
    Partition function of many-boson system with direct three- and four-particle correlations taken into account
    Visnyk Lviv Univ. Ser. Fiz. 46, 3-48 (2011)
    [full text]
17. I. O. Vakarchuk
    On the correspondence between classical physical quantities and quantum mechanical operators
    J. Phys. Stud. 15, ¹3, 3998(1-8) (2011)
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18. I. O. Vakarchuk
    Deformed Heisenberg algebra in the theory of liquid ⁴He
    Ukr. J. Phys. 55, No. 1, 36-43 (2010)
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19. I. O. Vakarchuk
    Mirror
    in: Philosophical Problems of Science: Lviv-Warsaw Seminar 14-22 (2010)
20. I. O. Vakarchuk
    "Divine proportion"
    in: Philosophical Problems of Science: Lviv-Warsaw Seminar 84-87 (2010)
21. I. O. Vakarchuk, O. I. Hryhorchak
    Density matrix of the many-boson system with the consideration of three- and four-particle direct correlations
    J. Phys. Stud. 13, No. 3, 3004 [28 p.] (2009)
    [full text]
22. I. O. Vakarchuk, R. O. Prytula
    Temperature dependence of the pair distribution function of the liquid ⁴He
    J. Phys. Stud. 13, No. 2, 2003 [5 p.] (2009)
    [full text]
23. I. O. Vakarchuk, R. O. Prytula
    One-particle density matrix of liquid ⁴He in the pair correlation approximation
    Ukr. Fiz. Zh. 54, No. 7, 687-696 (2009)
    [Ukr J. Phys. 54, 686-695 (2009)]
24. I. O. Wakarczuk
    Boska proporcja
    Przegląd Uniwersytecki: Pismo informacyjne Uniwersytetu Wrocławskiego Nr 11 (162), 8-9 (2009)
25. I. O. Vakarchuk, R. O. Prytula
    Structure functions of liquid helium-4 with three- and four-particle indirect correlation taken into consideration
    J. Phys. Stud. 12, No. 4, 4001 [12 p.] (2008)
    [full text]
26. I. O. Vakarchuk
    Casimir energy for the field with deformed Poisson brackets
    Physical collection of Shevchenko Sci. Soc. 7, 369-376 (2008)
27. I. O. Vakarchuk, V. S. Pastukhov
    Bose-condensate in two-component Bose-liquid
    J. Phys. Stud. 12, No 3, 3002 [8 p.] (2008)
    [full text]
28. I. O. Vakarchuk
    Theory of radiation and absorption of deformed field quanta
    Condens. Matter Phys. 11, No. 3(55), 409-416 (2008)
    [abs]
29. I. O. Vakarchuk
    The Casimir effect in a deformed field
    J. Phys. A: Math. Theor. 41, No. 18, 185402 [10 p.] (2008)
30. I. O. Vakarchuk, V. S. Pastukhov
    Density matrix of binary Bose-liquid in the approximation of pair correlations
    J. Phys. Stud. 12, No 1, 1001 [5 p.] (2008)
    [full text]
31. 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)
32. I. A. Vakarchuk
    One-particle density matrix of liquid ⁴He
    Teor. Mat. Fiz. 154, No. 1, 9-30 (2008) (in Russian)
    [Theor. Math. Phys. 154, 6-25 (2008)]
33. I. O. Vakarchuk
    Philosophical aspects of the general relativity theory
    Filozoficzne problemy nauki, 73-90 (Lviv–Warszawa: Wydawnictwo Naukowe Semper, 2008)
34. I. O. Vakarchuk
    Schrödinger's cat and the problem of two cultures
    Filozoficzne problemy nauki, 182-185 (Lviv–Warszawa: Wydawnictwo Naukowe Semper, 2008)
35. I. O. Vakarchuk
    Memory and recurrence of events
    Filozoficzne problemy nauki, 343-344 (Lviv–Warszawa: Wydawnictwo Naukowe Semper, 2008)
36. I. O. Vakarchuk
    Higher education in Ukraine — European dimension: status, problems, prospects
    Vyshcha shkola ¹3, 3-18 (2008)
37. I. O. Vakarchuk
    Modern physical and mathematical education and science: trends and perspectives
    Svit Fizyky (World of Physics) No. 3, 16-28 (2008)
38. A. A. Rovenchak, I. O. Vakarchuk
    Calculation of the condensate fraction in liquid helium-4
    J. Phys. Stud. 11, No. 4, 404-407 (2007)
    [abs]
39. I. O. Vakarchuk, R. O. Prytula, A. A. Rovenchak
    Kinetic energy and heat capacity of liquid ⁴He
    J. Phys. Stud. 11, No. 3, 259-267 (2007)
    [abs]
40. I. O. Vakarchuk
    Schrödinger's cat and the problem of two cultures
    in: Myśli o języku, nauce i wartościach: księga ofiarowana Profesorowi Jackowi Juliuszowi Jadackiemu w sześćdziesiątą rocznicę urodzin. Pod red. W. Strawińskiego, M. Grygiańca i A. Brożek, 203-212 (Warszawa, Wydawnictwo Naukowe Semper, 2006)
41. 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)
42. 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)
43. I. O. Vakarchuk
    On Dirac theory in the space with deformed Heisenberg algebra: exact solutions
    J. Phys. A: Math. Gen. 38, 7567-7576 (2005)
44. I. O. Vakarchuk
    Reply to 'Comment on 'Kepler problem in Dirac theory for a particle with position-dependent mass''
    J. Phys. A: Math. Gen. 38, 6859 (2005)
45. I. O. Vakarchuk
    The Kepler problem in Dirac theory for a particle with position-dependent mass
    J. Phys. A: Math. Gen. 38, 4727-4734 (2005)
46. I. O. Vakarchuk
    A self-consistent theory of liquid ⁴He
    J. Phys. Stud. 8, No. 3, 223-240 (2004)
    [full text]
47. I. O. Vakarchuk
    Structural variants of higher education in the context of the Bologna Process
    Models of harmonization of national and international standards of education in the context of the Bologna Process: Proceedings of the International Workshop May 27-28, 2004, held at the Ibvan Franko National University of Lviv (Lviv: Litopys) 22-31 (2004 )
48. I. O. Vakarchuk
    The magnetic Bose liquid
    J. Phys. Stud. 7, No. 1, 40-49 (2003)
    [full text]
49. R. Lavrycky, I. O. Vakarchuk, O. M. Popel
    Physics at Lviv University before 1939
    in: Physics and Mathematics at Wroclaw University. Past and Present. Proceedings of the 17th Max Born Symposium. Wroclaw, Poland, 18-19 October 2002. Ed. by J.Lukierski and H.Rechenberg 71-76 (2003)
50. I. O. Vakarchuk
    The 1/N-expansion in quantum mechanics. High-order approximations
    J. Phys. Stud. 6, No. 1, 46-54 (2002)
    [full text]
51. I. O. Wakarczuk
    Uniwersytet a problem dwóch kultur
    Konspekt: Pismo Akademii Pedagogicznej w Krakowie Nr. 9, 5-8 (zima 2001/2002)
52. I. O. Vakarchuk, A. A. Rovenchak
    Representation of the short-range interactions in liquid helium via modified hard sphere potentials
    J. Phys. Stud. 5, No. 2, 126-130 (2001)
    [full text]
53. I. O. Vakarchuk
    Is a quantum a great guesswork or a "forced" step?
    J. Phys. Stud. 5, No. 1, 1-6 (2001)
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54. I. O. Vakarchuk, A. A. Rovenchak
    Thermodynamics of the Bose-system with a small number of particles
    Condens. Matter Phys. 4, No. 3(27), 431-447 (2001)
    [abs]
55. I. O. Vakarchuk
    Theory of relativity and its creators
    Svit Fizyky (World of Physics) No. 2, 3-15 (2001)
56. I. O. Vakarchuk, V. V. Babin, A. A. Rovenchak
    A potential energy of interaction between helium atoms
    J. Phys. Stud. 4, No. 1, 16-22 (2000)
    [full text]
57. I. O. Vakarchuk
    Is a quantum a great guesswork or a "forced" step?
    Svit Fizyky (World of Physics) No. 4, 9-15 (2000)
58. I. O. Vakarchuk, H. Shopa
    Max Karl Ernst Ludwig Planck
    Svit Fizyky (World of Physics) No. 4, 27-29 (2000)
59. I. O. Vakarchuk, V. V. Babin
    Low-temperature asymptotic behaviour of the impurity effective mass in surerfluid ⁴He
    J. Phys. Stud. 3, No. 4, 468-473 (1999)
    [full text]
60. I. O. Vakarchuk
    Once more on the superfluid ⁴He
    J. Phys. Stud. 3, No. 3, 264-271 (1999)
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61. I. O. Vakarchuk
    Isaac Newton and his system of the World
    Svit Fizyky (World of Physics) ¹2, 11-16 (1999)
62. 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)
63. I. O. Vakarchuk, V. V. Babin
    Impurity effective mass in surerfluid ⁴He
    Condens. Matter Phys. 1, No 1(13), 161-168 (1998)
    [abs]
64. I. O. Vakarchuk, V. V. Babin
    Effective mass of impurity in superfluid ⁴He
    Visnyk Lviv. Univ. Ser. Fiz. 31, 13-16 (1998)
65. I. O. Vakarchuk, R.E.Rykalyuk, L.M.Yankiv-Vitkovska
    A temperature dependence of the width of the atom spectral lines in stellar atmospheres
    J. Phys. Stud. 2, No. 1, 16-22 (1998)
    [full text]
66. I. O. Vakarchuk, P. A. Hlushak, M. V. Tokarchuk
    A consistent description of kinetics and hydrodynamics of quantum Bose-systems. ². Transport equation
    Óêð. ô³ç. æóðí. 42, ¹9, 1150-1158 (1997)
67. I. O. Vakarchuk, K. Vasylyna
    Calculation of the density matrix of liquid ⁴He
    Condens. Matter Phys. Iss. 9, 117-126 (1997)
    [abs]
68. I. O. Vakarchuk
    New results for the distribution functions of many-particle quantum systems
    J. Phys. Stud. 1, 156-168 (1997)
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69. I. O. Vakarchuk, P. A. Hlushak
    Calculation of thermodynamic functions of superfluid ⁴He at low temperatures. 1. Free energy
    Ukr. Fiz. Zhurn. 41, 569-576 (1996)
70. I. O. Vakarchuk
    Statistical operator of a system of identical interacting particles in coordinate representation
    J. Phys. Stud. 1, 25-38 (1996)
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71. 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]
72. I. O. Vakarchuk
    Density matrix of the system of identical particles, interacting via oscillator forces
    Condens. Matter Phys. Iss. 5, 203-209 (1995)
    [abs]
73. I. O. Vakarchuk, R. E. Rykalyuk, L. M. Yankiv-Vitkovska
    The calculation of contribution from post-var-der-Waals multipole interactions in the temperature dependence of the damping constant of spectral lines of atoms
    Informational Bulletin of the Ukrainian Astronomical Association 7, 86-87 (1995)
74. 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]
75. 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]