Global geometrical optics method for vector-valued Schrödinger problems
DOI10.1007/S11464-018-0704-1zbMath1405.35178OpenAlexW2807104975MaRDI QIDQ1787119
Chunxiong Zheng, Jiashun Hu, Xiang Ma
Publication date: 4 October 2018
Published in: Frontiers of Mathematics in China (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11464-018-0704-1
semiclassical approximationunitary representationHamiltonian systemcausticsglobal geometrical optics method
Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Applications of group representations to physics and other areas of science (20C35) Geometric optics (78A05) Initial value problems for PDEs with pseudodifferential operators (35S10) Time-dependent Schrödinger equations and Dirac equations (35Q41)
Cites Work
- Unnamed Item
- Global geometrical optics method
- Gaussian beam methods for the Dirac equation in the semi-classical regime
- Semiclassical wave packet dynamics in Schrödinger equations with periodic potentials
- Connections on Lagrangian submanifolds and some quasiclassical approximation problems
- On time-splitting spectral approximations for the Schrödinger equation in the semiclassical regime
- Semi-classical models for the Schrödinger equation with periodic potentials and band crossings
- A time-splitting spectral scheme for the Maxwell-Dirac system
- Mathematical and computational methods for semiclassical Schrödinger equations
- Harmonic Analysis in Phase Space. (AM-122)
- Bohr-Sommerfeld quantization rules in the semiclassical limit
- Homogenization limits and Wigner transforms
- The Landau-Zener Transition and the Surface Hopping Method for the 2D Dirac Equation for Graphene
- A Bloch Decomposition–Based Split‐Step Pseudospectral Method for Quantum Dynamics with Periodic Potentials
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