  We present a comprehensive spectral analysis of cylindrical quantum
heterostructures by considering effective electronic carriers with
position-dependent mass for five different kinetic-operator orderings. We
obtain the bound energy eigenstates of particles in a three-dimensional
cylindrical nanowire under a confining hyperbolic potential with both open and
closed boundary conditions in the radial and the axial directions. In the
present model we consider carriers with continuous mass distributions within
the dot with abrupt mass discontinuities at the barriers, moving in a quantum
dot that connects different substances. Continuity of mass and potential at the
interfaces with the external layers result as a particular case. Our approach
is mostly analytical and allows a precise comparison among von Roos ordering
classes.
