Quantum indeterminacy and polar duality

DOI10.1007/s11040-015-9175-8zbMath1332.81111OpenAlexW2093260702MaRDI QIDQ255705

Maurice A. De Gosson

Publication date: 9 March 2016

Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11040-015-9175-8

zbMATH Keywords

symplectic capacityuncertainty principlepolar dualityquantum indeterminacy

Mathematics Subject Classification ID

Electromagnetic interaction; quantum electrodynamics (81V10) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) General mathematical topics and methods in quantum theory (81Q99) Classical or axiomatic geometry and physics (51P05)

Related Items (4)

Legendre equivalences of spherical Boltzmann machines ⋮ Two geometric interpretations of the multidimensional Hardy uncertainty principle ⋮ Geometric quantum states and Lagrangian polar duality: quantum mechanics without wavefunctions ⋮ Quantum polar duality and the symplectic camel: a new geometric approach to quantization

Cites Work

• From symplectic measurements to the Mahler conjecture
• Quantum states and Hardy's formulation of the uncertainty principle: a symplectic approach
• The symplectic camel and the uncertainty principle: the tip of an iceberg?
• Pseudo holomorphic curves in symplectic manifolds
• The M-ellipsoid, symplectic capacities and volume
• Symplectic geometry and quantum mechanics
• Bounds for Minkowski Billiard Trajectories in Convex Bodies
• On the Algebraic Problem Concerning the Normal Forms of Linear Dynamical Systems
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