Symplectic rigidity and quantum mechanics
From MaRDI portal
Publication:1620844
DOI10.4171/176-1/6zbMath1409.53072OpenAlexW4248593268MaRDI QIDQ1620844
Publication date: 14 November 2018
Full work available at URL: https://doi.org/10.4171/176-1/6
Geometry and quantization, symplectic methods (81S10) Global theory of symplectic and contact manifolds (53D35) Geometric quantization (53D50)
Related Items
Symplectic and inverse spectral geometry of integrable systems: a glimpse and open problems, A characterization of heaviness in terms of relative symplectic cohomology
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Quantization of compact symplectic manifolds
- General concept of quantization
- Poisson brackets and symplectic invariants
- Spectral killers and Poisson bracket invariants
- Persistent homology and Floer-Novikov theory
- Berezin-Toeplitz quantization for compact Kähler manifolds. A review of results
- On almost Poisson commutativity in dimension two
- Deformed Hamiltonian Floer theory, capacity estimates and Calabi quasimorphisms
- Almost complex structures and geometric quantization
- Symplectic topology as the geometry of generating functions
- Autonomous Hamiltonian flows, Hofer's geometry and persistence modules
- Quasi-morphisms and the Poisson bracket
- Commuting Hamiltonians and Hamilton-Jacobi multi-time equations
- Toeplitz operators on symplectic manifolds
- scl.
- Pseudo holomorphic curves in symplectic manifolds
- Uncertainty relations in simultaneous measurements for arbitrary observables
- Semiclassical spectral estimates for Toeplitz operators
- Symplectic packings and algebraic geometry
- Toeplitz quantization of Kähler manifolds and \(gl(N)\), \(N\to \infty\) limits
- On the action spectrum for closed symplectically aspherical manifolds
- Quantum speed limit versus classical displacement energy
- Symplectic fixed points and holomorphic spheres
- Quasi-states and quasi-measures
- The geometry of symplectic energy
- Star products on compact pre-quantizable symplectic manifolds
- The \(2/3\)-convergence rate for the Poisson bracket
- The gap between near commutativity and almost commutativity in symplectic category
- Symplectic geometry of quantum noise
- Quasi-states and the Poisson bracket on surfaces
- Calabi quasi-morphisms for some non-monotone symplectic manifolds
- Quasi-states and symplectic intersections
- Spectral invariants of distance functions
- Function Theory on Symplectic Manifolds
- On an exotic Lagrangian torus in
- The Quantum Computer Puzzle
- Lagrangian tetragons and instabilities in Hamiltonian dynamics
- On the topological properties of symplectic maps
- Distance to normal elements in 𝐶*-algebras of real rank zero
- Symplectic quasi-states and semi-simplicity of quantum homology
- C^0-rigidity of Poisson brackets
- Topology and data
- Rigid subsets of symplectic manifolds
- Lie quasi-states
- On the asymptotic eigenvalue distribution of a pseudo-differential operator
- Sharp correspondence principle and quantum measurements
- CALABI QUASIMORPHISMS FOR THE SYMPLECTIC BALL
- Operational Quantum Physics
- Measurement uncertainty relations
- Quasi-States, Quasi-Morphisms, and the Moment Map
- Symplectic Topology and Floer Homology
- Calabi quasimorphisms for monotone coadjoint orbits
- Quasi-morphisms and quasi-states in symplectic topology
- On the Problem of Hidden Variables in Quantum Mechanics
- Quantum theory: concepts and methods
