41 citations · 343 across the 30 of their papers we have counts for
31 papers
Superintegrable quantum mechanical systems with position dependent masses invariant with respect to two parametric Lie groups
A. G. Nikitin
Quantum mechanical systems with position dependent masses (PDM) admitting two parametric Lie symmetry groups are classified. Namely, all PDM systems are specified which, in additio…
Superintegrable quantum mechanical systems with position dependent masses invariant with respect to three parametric Lie groups
A. G. Nikitin
Quantum mechanical systems with position dependent masses (PDM) admitting for and more dimensional symmetry algebras are classified. Namely, all PDM systems are specified which, in…
Superintegrable and scale invariant quantum mechanical systems with position dependent mass
A. G. Nikitin
Schroedinger equations with position dependent mass which are scale invariant and admit second order integrals of motion are classified.
Symmetries of Schroedinger equation with scalar and vector potentials
A. G. Nikitin
Using the algebraic approach Lie symmetries of time dependent Schroedinger equations for charged particles interacting with superpositions of scalar and vector potentials are class…
Symmetries of the Schroedinger-Pauli equation for neutral particles
A. G. Nikitin
With using the algebraic approach Lie symmetries of Schrödinger equations with matrix potentials are classified. Thirty three inequivalent equations of such type together with the…
Symmetries and Supersymmetries of Generalized Schrödinger equations
A. G. Nikitin
In this survey the contemporary results concerning supersymmetries in generalized Schrödinger equations are presented. Namely, position dependent mass Schödinger equations are disc…