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The dimensional analyses of the position and momentum variances based quantum mechanical Heisenberg uncertainty measure, along with several entropic information measures are carried out for the superposition of the power potentials of the form V(r)=Zrn+∑iZirni where Z, Zi, n, ni are parameters yielding bound states for a particle of mass M. The uncertainty product and all other net information measures...
The dimensional analyses of the position and momentum variances which define the Heisenberg uncertainty product are carried out for two non-relativistic model central potentials generated by adding a/r2 term to (i) the isotropic harmonic oscillator, and (ii) the Coulombic hydrogen-like potentials. The uncertainty products are shown to be independent of the scaling of the part (i) and (ii) but are...
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