The symplectic camel and the uncertainty principle: the tip of an iceberg?
From MaRDI portal
Publication:1022507
DOI10.1007/s10701-009-9272-2zbMath1165.81030OpenAlexW2134133051MaRDI QIDQ1022507
Publication date: 22 June 2009
Published in: Foundations of Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10701-009-9272-2
General and philosophical questions in quantum theory (81P05) Hamilton's equations (70H05) Coherent states (81R30) Geometry and quantization, symplectic methods (81S10) Commutation relations and statistics as related to quantum mechanics (general) (81S05)
Related Items (21)
Entropies from coarse-graining: convex polytopes vs. ellipsoids ⋮ Hydrodynamic interpretation of generic squeezed coherent states: a kinetic theory ⋮ Partial traces and the geometry of entanglement: Sufficient conditions for the separability of Gaussian states ⋮ AN ENTROPIC PICTURE OF EMERGENT QUANTUM MECHANICS ⋮ Two geometric interpretations of the multidimensional Hardy uncertainty principle ⋮ Quantum blobs ⋮ Polar duality between pairs of transversal Lagrangian planes; applications to uncertainty principles ⋮ The Faber-Krahn inequality for the short-time Fourier transform ⋮ Pointillisme à la Signac and construction of a quantum fiber bundle over convex bodies ⋮ Geometric quantum states and Lagrangian polar duality: quantum mechanics without wavefunctions ⋮ A pseudo-differential calculus on non-standard symplectic space; spectral and regularity results in modulation spaces ⋮ Symplectic coarse-grained classical and semclassical evolution of subsystems: New theoretical approach ⋮ Fermi's ansatz and Bohm's quantum potential ⋮ Quantum polar duality and the symplectic camel: a new geometric approach to quantization ⋮ Hamiltonian deformations of Gabor frames: first steps ⋮ Gaussian quantum states can be disentangled using symplectic rotations ⋮ Bohm's quantum potential as an internal energy ⋮ On the Purity and Entropy of Mixed Gaussian States ⋮ Imprints of the quantum world in classical mechanics ⋮ On the disentanglement of Gaussian quantum states by symplectic rotations ⋮ Quantum indeterminacy and polar duality
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Remarks on the fact that the uncertainty principle does not determine the quantum state
- Breakdown points of affine equivariant estimators of multivariate location and covariance matrices
- Quantum versus classical uncertainty
- Geometry of contact transformations and domains: orderability versus squeezing
- Does the uncertainty relation determine the quantum state?
- Pseudo holomorphic curves in symplectic manifolds
- Ellipsoids of maximal volume in convex bodies
- Phase space quantization and the uncertainty principle
- Embedding problems in symplectic geometry
- Symplectic geometry and quantum mechanics
- Majorizing measures: The generic chaining
- Geometry and uncertainty
- PHASE SPACE MEASURE CONCENTRATION FOR AN IDEAL GAS
- Conditions for the convolution of two Wigner distributions to be itself a Wigner distribution
- Semi-classical propagation of wavepackets for the phase space Schrödinger equation: interpretation in terms of the Feichtinger algebra
- On the Algebraic Problem Concerning the Normal Forms of Linear Dynamical Systems
This page was built for publication: The symplectic camel and the uncertainty principle: the tip of an iceberg?
