Polar Duality Between Pairs of Transverse Lagrangian Planes. Applications to Uncertainty Principles

Abstract

We extend the notion of polar duality to pairs of transverse Lagrangian planes in the standard symplectic space. This allows us to show that polar duality has a natural interpretation in terms of symplectic geometry. We apply our results to the quantum principle of indeterminacy.

References in corpus (2)

• From Symplectic Measurements to the Mahler Conjecture
• Quantum States and Hardy's Formulation of the Uncertainty Principle : a Symplectic Approach