Publications by I. O. Vakarchuk

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)

I. O. Vakarchuk, Panochko G. I.
Impurity states in a many-boson system
J. Phys. Stud. 16, No. 4, 4601 (8 p.) (2012)

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)

I. O. Vakarchuk, O. I. Hryhorchak
Partition function of many-boson system with direct three- and four-particle correlations taken into account
Visn. Lviv University. Ser. Phys. 46, 3-48 (2011)

I. O. Vakarchuk
Deformed Heisenberg algebra in the theory of liquid ⁴He
Ukr. J. Phys. 55, No. 1, 36-43 (2010)

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)

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)

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)]

I. O. Vakarchuk, R. O. Prytula
Structure functions of liquid helium-4 with three- and four-particle indirect correlation taken into consideration
Journal of Physical Studies 12, No 4, 4001 (12 p.) (2008)

I. O. Vakarchuk
Casimir energy for the field with deformed Poisson brackets
Physical collection of Shevchenko Sci. Soc. 7, 369-376 (2008)

I. O. Vakarchuk, V. S. Pastukhov
Bose-condensate in two-component Bose-liquid
Journal of Physical Studies 12, No 3, 3002 (8 p.) (2008)

I. O. Vakarchuk
Theory of radiation and absorption of deformed field quanta
Condens. Matter Phys. 11, No. 3(55), 409-416 (2008)

I. O. Vakarchuk
The Casimir effect in a deformed field
J. Phys. A: Math. Theor. 41, No. 18, 185402 (10 p.) (2008)

I. O. Vakarchuk, V. S. Pastukhov
Density matrix of binary Bose-liquid in the approximation of pair correlations
Journal of Physical Studies 12, No 1, 1001 (5 p.) (2008)

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)

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)]

A. A. Rovenchak, I. O. Vakarchuk
Calculation of the condensate fraction in liquid helium-4
Journal of Physical Studies (Lviv) 11, No. 4, 404-407 (2007)

I. O. Vakarchuk, R. O. Prytula, A. A. Rovenchak
Kinetic energy and heat capacity of liquid ⁴He
Journal of Physical Studies (Lviv) 11, No. 3, 259-267 (2007) (in Ukrainian)

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. Strawinskiego, M. Grygianca i A. Brozek (Warszawa, Wydawnictwo Naukowe Semper) 203-212 (2006)

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)

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)

I. O. Vakarchuk
On Dirac theory in the space with deformed Heisenberg algebra: Exact solutions
J. Phys. A: Math. Gen. 38, 7567-7576 (2005)

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)

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)

I. O. Vakarchuk
A self-consistent theory of liquid $^4$He
Journal of Physical Studies (Lviv) 8, No. 3, 223-240 (2004)
[abs] [full text]

I. O. Vakarchuk
The Magnetic Bose Liquid
Journal of Physical Studies (Lviv) 7, No. 1, 40-49 (2003)
[abs] [full text]

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)

I. O. Vakarchuk
The $1/N$-expansion in quantum mechanics. High-order approximations
Journal of Physical Studies (Lviv) 6, No. 1, 46-54 (2002)
[abs] [full text]

I. O. Wakarczuk
Uniwersytet a problem dwóch kultur
Konspekt: Pismo Akademii Pedagogicznej w Krakowie Nr. 9, 5-8 (zima 2001/2002)

I. O. Vakarchuk, A. A. Rovenchak
Representation of the short-range interactions in liquid helium via modified hard sphere potentials
Journal of Physical Studies (Lviv) 5, No. 2, 126-130 (2001)
[abs] [full text]

I. O. Vakarchuk
Is a quantum a great guesswork or a "forced" step?
Journal of Physical Studies (Lviv) 5, No. 1, 1-6 (2001)
[abs] [full text]

I. O. Vakarchuk, A. A. Rovenchak
Thermodynamics of the Bose-system with a small number of particles
Condens. Matter Phys. (Lviv) 4, No. 3(27), 431-447 (2001)
[abs] [full text]

I. O. Vakarchuk, V. V. Babin, A. A. Rovenchak
A potential energy of interaction between helium atoms
Journal of Physical Studies (Lviv) 4, 16-22 (2000)
[abs]

I. O. Vakarchuk, V. V. Babin
Low-temperature asymptotic behaviour of the impurity effective mass in surerfluid ⁴He
Journal of Physical Studies (Lviv) 3, 468-473 (1999) (in Ukrainian)
[abs]

I. O. Vakarchuk
Once more on the superfluid ⁴He
Journal of Physical Studies (Lviv) 3, 264-271 (1999)
[abs]

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)
[full text]

I. O. Vakarchuk, V. V. Babin
Impurity effective mass in surerfluid $^4$He
Condens. Matter Phys (Lviv) 1, No 1(13), 161-168 (1998)
[abs] [full text]

I. O. Vakarchuk, V. V. Babin
Impurity effective mass in surerfluid $^4$He
Visnyk L'viv. Universytetu. Ser. Fiz. 31, 13-16 (1998) (in Ukrainian)

I. O. Vakarchuk, R.E.Rykalyuk, L.M.Yankiv-Vitkovska
A temperature dependence of the width of the atom spectral lines in stellar atmospheres
Journal of Physical Studies (Lviv) 2, 16-22 (1998) (in Ukrainian)
[abs]

I. O. Vakarchuk
New results for the distribution functions of many-particle quantum systems
Journal of Physical Studies (Lviv) 1, 156-168 (1997) (in Ukrainian)
[abs]

I. O. Vakarchuk, K. Vasylyna
Calculation of the density matrix of liquid helium 4
Condens. Matter Phys. (Lviv) Iss. 9, 117-126 (1997)
[abs] [full text]

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) (in Ukrainian)

I. O. Vakarchuk
Statistical Operator of a System of Identical Interacting Particles in Coordinate Representation
Journal of Physical Studies (Lviv) 1, 25-38 (1996) (in Ukrainian)
[abs]

I. O. Vakarchuk, V. M. Tkachuk, T. V. Kuliy
The Influence of Structure Disorder on Mean atomic Moment Fluctuations and the Spin-Wave Spectrum
J. Magn. Magn. Matter. 146, 191-194 (1995)

I. O. Vakarchuk
Density Matrix of the System of Identical Particles Interacting via Oscillator Forces
Condens. Matter Phys. (Lviv) Iss. 5, 203-209 (1995)

I. O. Vakarchuk, V. M. Tkachuk, T. V. Kuliy
The Influence of Spins' Structure Fluctuations on the Spectrum and Damping of Spin Waves in Amorphous Ferromagnet
Condens. Matter Phys. (Lviv) Iss. 3, 176-180 (1994)

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)

I. O. Vakarchuk, P. A. Hlushak
Mean Kinetic Energy and Bose-Condensate Fraction in Superfluid ⁴He at Low Temperatures
Preprint of the National Ukrainian Academy of Sciences. Institute for Condensed Matter Physics: IFKS-94-10U Lviv, 40p (1994) (in Ukrainian)