8 citations · 10 across the 3 of their papers we have counts for
4 papers
Integrable and superintegrable quantum mechanical systems with position dependent masses invariant with respect to one parametric Lie groups. 2. Systems with dilatation and shift symmetries
A. G. Nikitin
3d quantum mechanical systems with position dependent masses (PDM) admitting at least one second order integral of motion and symmetries with respect to dilatation or shift transfo…
Integrable and superintegrable quantum mechanical systems with position dependent masses invariant with respect to one parametric Lie groups. 1. Systems with cylindric symmetry
A. G. Nikitin
Cylindrically symmetric quantum mechanical systems with position dependent masses (PDM) admitting at least one second order integral of motion are classified. It is proved that the…
Symmetries of the Schroedinger-Pauli equations for charged particles and quasirelativistic Schroedinger equations
A. G. Nikitin
Lie symmetries of the Schroedinger-Pauli equations for charged particles and quasirelativistic Schroedinger equations are classified. In particular a new superintegrable system wit…
Group classification of Schrödinger equations with position dependent mass
A. G. Nikitin, T. M. Zasadko
Maximal kinematical invariance groups of Schrödinger equation with a position dependent mass and arbitrary potential are classified. It is demonstrated that there exist seven…