Applications of a Simple Formula

Physics – Quantum Physics

Scientific paper

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Latex, 7 pages

Scientific paper

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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