The semiclassical structure of low-energy states in the presence of a magnetic field

DOI10.1090/S0002-9947-06-04197-3zbMath1210.35033arXivmath/0412223MaRDI QIDQ3420384

David Borthwick, Alejandro Uribe

Publication date: 1 February 2007

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0412223

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Fourier integral operators applied to PDEs (35S30)

Related Items (2)

The manifold of compatible almost complex structures and geometric quantization ⋮ Semiclassical asymptotic expansions for functions of the Bochner-Schrödinger operator

Cites Work

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• Symplectic submanifolds and almost-complex geometry
• Legendrian distributions with applications to relative Poincaré series
• Asymptotics of almost holomorphic sections of ample line bundles on symplectic manifolds
• The Spectral Theory of Toeplitz Operators. (AM-99)
• Generalized Bergman kernels on symplectic manifolds
• Nearly Kählerian embeddings of symplectic manifolds

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