How Lagrangian states evolve into random waves
DOI10.5802/jep.181zbMath1491.35361arXiv2011.02943OpenAlexW4205371312MaRDI QIDQ2073657
Alejandro Rivera, Maxime Ingremeau
Publication date: 3 February 2022
Published in: Journal de l'École Polytechnique -- Mathématiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2011.02943
Spectral theory and eigenvalue problems for partial differential equations (35P99) Quantum chaos (81Q50) PDEs in connection with quantum mechanics (35Q40) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70) Time-dependent Schrödinger equations and Dirac equations (35Q41)
Cites Work
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- On the number of nodal domains of toral eigenfunctions
- On toral eigenfunctions and the random wave model
- Quantum decay rates in chaotic scattering
- Semiclassical behaviour of expectation values in time evolved Lagrangian states for large times
- Fractional fields and applications
- Local weak limits of Laplace eigenfunctions
- Planck-scale number of nodal domains for toral eigenfunctions
- Entropy and the localization of eigenfunctions
- Half-delocalization of eigenfunctions for the Laplacian on an Anosov manifold
- Asymptotic Laws for the Spatial Distribution and the Number of Connected Components of Zero Sets of Gaussian Random Functions
- Regular and irregular semiclassical wavefunctions
- GLOBAL FOURIER INTEGRAL OPERATORS AND SEMICLASSICAL ASYMPTOTICS
- Riemannian geometry and geometric analysis