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Pauli effects in uncertainty relations

I.V. Toranzo a c, P. Sánchez-Moreno b c, R.O. Esquivel c d, J.S. Dehesa a c

In this Letter we analyze the effect of the spin dimensionality of a physical system in two mathematical formulations of the uncertainty principle: a generalized Heisenberg uncertainty relation valid for all antisymmetric N-fermion wavefunctions, and the Fisher-information-based uncertainty relation valid for all antisymmetric N-fermion wavefunctions of central potentials. The accuracy of these spin-modified uncertainty relations is examined for all atoms from Hydrogen to Lawrencium in a self-consistent framework.

https://www.sciencedirect.com/science/article/abs/pii/S0009261414007465?via%3Dihub

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