Ordering Ambiguity Revisited via Position Dependent Mass Pseudo-Momentum Operators |
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Authors: | Omar Mustafa S Habib Mazharimousavi |
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Institution: | (1) Department of Physics, Eastern Mediterranean University, G Magusa, North Cyprus, Mersin, 10, Turkey |
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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, Phys. Lett. A.
275 (2000) 25 reliability test and classified as good ordering.
PACS numbers: 03.65.Ge, 03.65. Fd, 03.65.Ca |
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Keywords: | |
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