Zobrazeno 1 - 10
of 99
pro vyhledávání: '"Vakarchuk, I."'
Publikováno v:
Condens. Matter Phys., 2017, vol. 20, No. 1, 13604
We studied the properties of a single impurity atom immersed in a dilute Bose condensate at low temperatures. In particular, we perturbatively obtained the momentum dependence of the impurity spectrum and damping. By means of the Brillouin-Wigner per
Externí odkaz:
http://arxiv.org/abs/1703.10390
Autor:
Vakarchuk, I. O., Panochko, G. I.
Publikováno v:
Condens. Matter Phys., 2015, vol. 3, No. 3, 33002
We propose to consider nonlinear fluctuations in the theory of liquid $^{4}$He deforming the commutation relations between the generalized coordinates and momenta. Generalized coordinates are coefficients of density fluctuations of Bose particles. Th
Externí odkaz:
http://arxiv.org/abs/1503.04746
In this paper, with the corresponding formula for internal energy obtained in Ref. [J. Phys. Stud. {\bf 11}, 259 (2007)], combined with a simple calculation of the effective mass of interacting Bose particles, the behavior of the heat capacity of liq
Externí odkaz:
http://arxiv.org/abs/1110.3941
Autor:
Vakarchuk, I. O.
We calculate the intensity of spontaneous radiation of a system of non-linear quantum field, where the non-linearity is due to deformations of the Poison brackets of the generalized coordinates and momenta.
Comment: This paper is dedicated to Pr
Comment: This paper is dedicated to Pr
Externí odkaz:
http://arxiv.org/abs/0804.2323
Publikováno v:
J. Phys. A: Math. Theor. 41 (2008) 045305
A Bohr-Sommerfeld quantization rule is generalized for the case of the deformed commutation relation leading to minimal uncertainties in both coordinate and momentum operators. The correctness of the rule is verified by comparing obtained results wit
Externí odkaz:
http://arxiv.org/abs/0709.1321
Publikováno v:
J. Phys. A: Math. Gen. 39 (2006) 379-387
The WKB approximation for deformed space with minimal length is considered. The Bohr-Sommerfeld quantization rule is obtained. A new interesting feature in presence of deformation is that the WKB approximation is valid for intermediate quantum number
Externí odkaz:
http://arxiv.org/abs/quant-ph/0510018
Publikováno v:
J. Phys. A: Math. Gen. 39 (2006) 2143-2149
Spectrum and eigenfunctions in the momentum representation for 1D Coulomb potential with deformed Heisenberg algebra leading to minimal length are found exactly. It is shown that correction due to the deformation is proportional to square root of the
Externí odkaz:
http://arxiv.org/abs/quant-ph/0507117
Autor:
Vakarchuk, I. O.
The Dirac equation has been studied in which the Dirac matrices $\hat{\boldmath$\alpha$}, \hat\beta$ have space factors, respectively $f$ and $f_1$, dependent on the particle's space coordinates. The $f$ function deforms Heisenberg algebra for the co
Externí odkaz:
http://arxiv.org/abs/quant-ph/0503166
Autor:
Vakarchuk, I. O.
A new method is proposed for the calculation of full density matrix and thermodynamic functions of a many-boson system. Explicit expressions are obtained in the pair correlations approximation for an arbitrary temperature. The theory is self-consiste
Externí odkaz:
http://arxiv.org/abs/quant-ph/0502127
Autor:
Vakarchuk, I. O.
Exact solution of Dirac equation for a particle whose potential energy and mass are inversely proportional to the distance from the force centre has been found. The bound states exist provided the length scale $a$ which appears in the expression for
Externí odkaz:
http://arxiv.org/abs/quant-ph/0502105