94 citations · 266 across the 8 of their papers we have counts for
8 papers
Statistical physics in deformed spaces with minimal length
Taras Fityo
We considered the thermodynamics in spaces with deformed commutation relation leading to existence of the minimal length. We developed a classical method of the partition function…
WKB approximation in deformed space with minimal length and minimal momentum
T. V. Fityo, I. O. Vakarchuk, V. M. Tkachuk
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…
Deformed Heisenberg algebra with upper bound of momentum value
Taras V. Fityo
We consider one dimensional deformed Heisenberg algebra leading to existence of minimal length for coordinate operator and minimal and maximal uncertainty of momentum operator. For…
WKB approximation in deformed space with minimal length
T. V. Fityo, I. O. Vakarchuk, V. M. Tkachuk
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…
One dimensional Coulomb-like problem in deformed space with minimal length
T. V. Fityo, I. O. Vakarchuk, V. M. Tkachuk
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 c…
Multidimensional quasi-exactly solvable potentials with two known eigenstates
V. M. Tkachuk, T. V. Fityo
A general approach for constructing multidimensional quasi-exactly solvable (QES) potentials with explicitly known eigenfunctions for two energy levels is proposed. Examples of new…