The magnetic Weyl calculus
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Publication:4833364
DOI10.1063/1.1668334zbMath1068.81043arXivmath-ph/0401043OpenAlexW2057393150MaRDI QIDQ4833364
Publication date: 15 December 2004
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0401043
General quantum mechanics and problems of quantization (81S99) General mathematical topics and methods in quantum theory (81Q99) Deformation quantization, star products (53D55)
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Cites Work
- A mathematical approach to the effective Hamiltonian in perturbed periodic problems
- Schrödinger operators with magnetic fields. I: General interactions
- An algebra of pseudodifferential operators and quantum mechanics in phase space
- The Weyl functional calculus
- The multiplicative Weyl functional calculus
- On asymptotic expansions of twisted products
- Algebras of distributions suitable for phase-space quantum mechanics. I
- Algebras of distributions suitable for phase-space quantum mechanics. II. Topologies on the Moyal algebra
- The weyl calculus of pseudo-differential operators
- The Effect of a Magnetic Field on Electrons in a Periodic Potential
- Schrödinger operators with singular magnetic vector potentials
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