Strict deformation quantization for a particle in a magnetic field
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Publication:3438389
DOI10.1063/1.1887922zbMath1110.81118arXivmath/0503049OpenAlexW3102271246MaRDI QIDQ3438389
Publication date: 16 May 2007
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0503049
Geometry and quantization, symplectic methods (81S10) Deformation quantization, star products (53D55) Applications of functional analysis in quantum physics (46N50) Quantizations, deformations for selfadjoint operator algebras (46L65)
Related Items (13)
The Faraday effect revisited: thermodynamic limit ⋮ Spectral and regularity properties of a pseudo-differential calculus related to Landau quantization ⋮ Spectral edge regularity of magnetic Hamiltonians ⋮ On the Lipschitz continuity of spectral bands of Harper-like and magnetic Schrödinger operators ⋮ Dirac’s magnetic monopole and the Kontsevich star product ⋮ Categorical perspective on quantization of Poisson algebra ⋮ The modulation mapping for magnetic symbols and operators ⋮ Examples of quantisation of Poisson manifolds ⋮ Spectral continuity for aperiodic quantum systems I. General theory ⋮ Spectral and propagation results for magnetic Schrödinger operators; a \(C^*\)-algebraic framework ⋮ Hölder continuity of the spectra for aperiodic Hamiltonians ⋮ Positive quantization in the presence of a variable magnetic field ⋮ Two-parameter asymptotics in magnetic Weyl calculus
Cites Work
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- Continuous fields of \(C^*\)-algebras coming from group cocycles and actions
- Deformation theory and quantization. I: Deformations of symplectic structures
- Pseudodifferential operators on differential groupoids
- Lipschitz continuity of gap boundaries for Hofstadter-like spectra
- Twisted crossed products of \(C^*\)-algebras. II
- Twisted crossed products of C*-algebras
- Quantum magnetic algebra and magnetic curvature
- Symplectic areas, quantization, and dynamics in electromagnetic fields
- The magnetic Weyl calculus
- C^*-bundles and C_0(X)-algebras
- The Effect of a Magnetic Field on Electrons in a Periodic Potential
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