activity
19952023
most citedDeformed algebras, position-dependent effective masses and curved spaces: An exactly solvable Coulomb problem

259 citations · 2k across the 75 of their papers we have counts for

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Showing 2017Show all

5 papers · 1 filter

quant-ph2017★ 25 cited

Lee-Yang zeros and two-time spin correlation function

Kh. P. Gnatenko, A. Kargol, V. M. Tkachuk

The two-time correlation function for probe spin interacting with spin system (bath) is studied. We show that zeros of this function correspond to zeros of partition function of sp…

quant-ph2017★ 5 cited

Time correlation functions and Fisher zeros for q-deformed Bose gas

Kh. P. Gnatenko, A. Kargol, V. M. Tkachuk

The time-dependent correlation functions of q-deformed Bose gas are studied. We find relation of zeros of the correlation functions with the Fisher zeros of partition function of t…

quant-ph2017★ 46 cited

Composite system in rotationally invariant noncommutative phase space

Kh. P. Gnatenko, V. M. Tkachuk

Composite system is studied in noncommutative phase space with preserved rotational symmetry. We find conditions on the parameters of noncommutativity on which commutation relation…

quant-ph2017★ 5 cited

Exact solutions for two-body problems in 1D deformed space with minimal length

M. I. Samar, V. M. Tkachuk

We reduce two-body problem to the one-body problem in general case of deformed Heisenberg algebra leading to minimal length.Two-body problems with delta and Coulomb-like interactio…

quant-ph2017★ 13 cited

Noncommutative phase space with rotational symmetry and hydrogen atom

Kh. P. Gnatenko, V. M. Tkachuk

We construct algebra with noncommutativity of coordinates and noncommutativity of momenta which is rotationally invariant and equivalent to noncommutative algebra of canonical type…