The Symplectic Camel and the Uncertainty Principle: The Tip of an Iceberg?

2009/01/16 by Maurice A. de Gosson · 18 citations
Physics and Astronomy · Mathematics · #Statistical Mechanics and Entropy #Quantum Mechanics and Applications #Mathematical and Theoretical Analysis

paper · doi:10.1007/s10701-009-9272-2

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• Schrödinger's real-valued equation revisited
• Superluminal transformations and indeterminism
• On deformations of classical mechanics due to Planck-scale physics
• Fermi's Trick and Symplectic Capacities: A Geometric Picture of Quantum\n States
• Complex Lagrangian dynamics
• Symplectic Coarse-Grained Classical and Semi-Classical Evolution of Subsystems: New Theoretical Aspects
• Quantum Monads in Phase Space and Related Toeplitz Operators
• A Note on the Disentanglement of Gaussian Quantum States by Symplectic\n Rotations
• Quantum Indeterminacy, Polar Duality, and Symplectic Capacities
• The Optimal Pure Gaussian State Associated with Joint Position-Momentum\n Measurements
• The Symplectic Camel and Quantum Universal Invariants: the Angel of Geometry vs. the Demon of Algebra
• Geometric Representation of Generalized Coherent States and their Symplectic Capacities: A Synthetic Approach
• An entropic picture of emergent quantum mechanics
• Non-squeezing theorem [wikipedia]
• Quantum Blobs. [europepmc]
• The Symplectic Camel and Poincaré Superrecurrence: Open Problems. [europepmc]
• Gaussian quantum states can be disentangled using symplectic rotations. [europepmc]
• Pointillisme à la Signac and Construction of a Quantum Fiber Bundle Over Convex Bodies. [europepmc]