Ordering ambiguity revisited via position dependent mass pseudo-momentum operators
Abstract
Ordering ambiguity associated with the von Roos position dependent mass (PDM) Hamiltonian is considered. An affine locally scaled first order differential introduced, in Eq.(9), as a PDM-pseudo-momentum operator. Upon intertwining our Hamiltonian, which is the sum of the square of this operator and the potential function, with the von Roos d-dimensional PDM-Hamiltonian, we observed that the so-called von Roos ambiguity parameters are strictly determined, but not necessarily unique. Our new ambiguity parameters' setting is subjected to Dutra's and Almeida's [11] reliability test and classified as good ordering.
Cite
@article{arxiv.quant-ph/0607158,
title = {Ordering ambiguity revisited via position dependent mass pseudo-momentum operators},
author = {Omar Mustafa and S. Habib Mazharimousavi},
journal= {arXiv preprint arXiv:quant-ph/0607158},
year = {2009}
}
Comments
10 pages, no figures, revised/expanded, mathematical presentations in section 2 (Especially, the typological Errors in Eqs.(9)-(12))are now corrected. To appear in the Int. J. Theor. Phys