Semiclassical quantization and spectral limits of ħ-pseudodifferential and Berezin-Toeplitz operators
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Publication:2922879
DOI10.1112/plms/pdu015zbMath1321.53108arXiv1302.0424OpenAlexW3101510438MaRDI QIDQ2922879
San Vũ Ngoc, Álvaro Pelayo, Leonid Polterovich
Publication date: 15 October 2014
Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1302.0424
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Cites Work
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- General concept of quantization
- Constructing integrable systems of semitoric type
- Almost complex structures and geometric quantization
- Birkhoff normal forms in semi-classical inverse problems.
- Semitoric integrable systems on symplectic 4-manifolds
- Moment polytopes for symplectic manifolds with monodromy
- On a partial differential equation involving the Jacobian determinant
- Toeplitz operators on symplectic manifolds
- Inverse spectral problem for analytic \((\mathbb Z/2\mathbb Z)^n\)-symmetric domains in \(\mathbb R^n\)
- Spectre conjoint d'opérateurs pseudo-différentiels qui commutent. II. Le cas intégrable
- Convexity properties of the moment mapping
- Spectre conjoint d'opérateurs pseudo-différentiels qui commutent. I: Le cas non intégrable
- Toeplitz quantization of Kähler manifolds and \(gl(N)\), \(N\to \infty\) limits
- Berezin--Toeplitz operators, a semi-classical approach
- Star products on compact pre-quantizable symplectic manifolds
- Monodromy, diabolic points, and angular momentum coupling
- ``Bottom of the well semi-classical trace invariants
- Toeplitz operators and Hamiltonian torus actions
- Asymptotics of almost holomorphic sections of ample line bundles on symplectic manifolds
- Symplectic inverse spectral theory for pseudodifferential operators
- Hamiltoniens périodiques et images convexes de l'application moment
- The Spectral Theory of Toeplitz Operators. (AM-99)
- Convexity and Commuting Hamiltonians
- Quasimodes and Bohr-Sommerfeld Conditions for the Toeplitz Operators
- Isospectrality for quantum toric integrable systems
- Quantization and unitary representations
- Convex analysis and monotone operator theory in Hilbert spaces
