Harmonic-oscillator Hamiltonian in p-representation (cf. Eq.~(3.1)
for details) is considered after one of the simplest deformations of
the Heisenberg algebra (cf. (2.2)) yielding one of the most
elementary nontrivial forms (2.5) of the operator of the coordinate.
The eigenvalue problem is then found solvable in terms of truncated
hypergeometric series (3.17). In the zero-deformation limit, the
energies (cf. (3.21)) degenerate to the well known ones.


MR2947369 Valtancoli, P. Remarks on the harmonic oscillator with a
minimal position uncertainty. Modern Phys. Lett. A 27 (2012), no.
19, 1250107, 5 pp. 81Qxx