1108.5536 (Omar Mustafa)

Auxiliary quantization constraints on the von Roos ordering-ambiguity at
zero binding energies; azimuthally symmetrized cylindrical coordinates    [PDF]

Omar Mustafa

Using azimuthally symmetrized cylindrical coordinates, we report the consequences of zero-energy quantal states on the von Roos Hamiltonian. A position-dependent mass M({\rho},\phi,z)=bz^{j}{\rho}^{2\u{psion}+1}/2 is used. We show that the zero-energy setting not only offers an additional degree of freedom towards feasible separability for the von Roos Hamiltonian, but also manifestly yields auxiliary quantized ambiguity parametric constraints.

View original: http://arxiv.org/abs/1108.5536