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arxiv: quant-ph/9506030 · v1 · submitted 1995-06-19 · 🪐 quant-ph

Applications of a Simple Formula

classification 🪐 quant-ph
keywords rangleformulaapplicationssimpleadditionclarifiesdeltaderivations
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New applications of the formula $A |\psi\rangle = \langle A \rangle |\psi\rangle + \Delta A |\psi_{\perp} \rangle$ are discussed. Simple derivations of the Heisenberg uncertainty principle and of related inequalities are presented. In addition, the formula is used in an instructive paradox which clarifies a fundamental notion in quantum mechanics.

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