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期刊论文
Constraint induced mean curvature dependence of Cartesian momentum operators
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The Hermitian Cartesian quantum momentum operator p for an embedded surface M in R3 is proved to be a constant factor ?ih times the mean curvature vector field Hn added to the usual differential term. With use of this form of momentum operators, the operator-ordering ambiguity exists in the construction of the correct kinetic energy operator and three different operator-orderings lead to the same result.
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