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Current issue   Ukr. J. Phys. 2017, Vol. 62, N 4, p.343-348


Vasyuta V.M., Tkachuk V.M.

Ivan Franko National University of Lviv, Department for Theoretical Physics
(12, Dragomanov Str., Lviv 79005, Ukraine; e-mail: waswasiuta@gmail.com,

Inverse Square potential in a Space with Spin Noncommutativity of Coordinates

Section: General Problems of Theoretical Physics
Original Author's Text: Ukrainian

Abstract: An attractive inverse square potential has been considered in a space with the spin noncommutativity of coordinates. The corresponding effective potential energy, as well as the total energy, is shown to be bounded from below. Using the variational method, the upper limit of the ground-state energy, which turns out to be negative for a sufficiently large coupling constant, is found. As a result, it is proved that the inverse square potential creates stationary levels in the space concerned, unlike the case of commutative space, where a particle falls to the center.

Key words: inverse square potential, noncommutativity.