A semiclassical Birkhoff normal form for symplectic magnetic wells
DOI10.4171/JST/406MaRDI QIDQ2080312
Publication date: 7 October 2022
Published in: Journal of Spectral Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.03493
normal formspectral theorysemiclassical limitmicrolocal analysismagnetic Laplacianpseudo differential operators
Pseudodifferential operators as generalizations of partial differential operators (35S05) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Spectral theory and eigenvalue problems for partial differential equations (35Pxx) Hamiltonian and Lagrangian mechanics (70Hxx)
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Cites Work
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- Magnetic wells in dimension three
- Geometry and spectrum in 2D magnetic wells
- Spectral asymptotics via the semiclassical Birkhoff normal form
- A simple proof of Hardy-Lieb-Thirring inequalities
- Champs magnétiques et inégalités de Morse pour la d-cohomologie. (Magnetic fields and Morse inequalities for d-cohomology)
- Convergence de la mêtrique de Fubini-Study d'un fibré linéaire positif. (Convergence of the Fubini-Study metric of a positive line bundle.)
- Semiclassical analysis for the ground state energy of a Schrödinger operator with magnetic wells
- WKB constructions in bidimensional magnetic wells
- Semiclassical spectral analysis of Toeplitz operators on symplectic manifolds: the case of discrete wells
- The spectral density function of the renormalized Bochner Laplacian on a symplectic manifold
- Symplectic manifolds and their Lagrangian submanifolds
- Semiclassical spectral asymptotics for a two-dimensional magnetic Schr\"odinger operator: The case of discrete wells
- Multiple wells in the semi-classical limit I
- Magnetic WKB constructions on surfaces
- Long-time dynamics of coherent states in strong magnetic fields
- Semiclassical Spectral Asymptotics for a Magnetic Schrödinger Operator with Non-vanishing Magnetic Field
- Magnetic bottles in connection with superconductivity
- An introduction to semiclassical and microlocal analysis
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