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arxiv: 0904.2009 · v1 · submitted 2009-04-13 · 🪐 quant-ph

The Pauli exclusion principle and beyond

classification 🪐 quant-ph
keywords exclusionmulti-electronpauliprincipleadditionalbeyondconstraintsdensity
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The Pauli exclusion principle can be stated as inequality $<\psi|\rho|\psi>\le 1$ for the electron density matrix $\rho$. Nowadays it is replaced by skew symmetry of the multi-electron wave function. The replacement leads to numerous additional constraints on $\rho$, which are discussed in this letter together with their physical implications, in particular for spin magnetic moment of a multi-electron system.

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