State Extended Uncertainty Relations

Abstract

A scheme for construction of uncertainty relations (UR) for n observables and m states is presented. Several lowest order UR are displayed and briefly discussed. For two states |ψ> and |ϕ> and canonical observables the (entangled) extension of Heisenberg UR reads [Δp(ψ)]^2[Δq(ϕ)]^2 + [Δp(ϕ)]^2[Δq(ψ)]^2 \geq 1/2. Some possible applications of the new inequalities are noted.

LaTex, 6 pages 15x23cm text, No figures

References in corpus (5)

• Robertson Intelligent States
• Characteristic uncertainty relations
• On the squeezed states for n observables
• Moments of the Wigner Distribution and a Generalized Uncertainty Principle
• The Uncertainty Way of Generalization of Coherent States

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