Ordering ambiguity revisited via position dependent mass pseudo-momentum operators

Details Ordering ambiguity revisited via position dependent mass pseudo-momentum operators Ordering ambiguity revisited via position dependent mass pseudo-momentum operators

2006-07-23

arxiv.org/abs/quant-ph/0607158v3

Int. J. Theor. Phys. 46, 1786 (2007)

Physics

Quantum Physics

10 pages, no figures, revised/expanded, mathematical presentations in section 2 (Especially, the typological Errors in Eqs.(9)

Scientific paper

10.1007/s10773-006-9311-0

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.

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