Pseudodifferential Weyl calculus on (Pseudo-)Riemannian manifolds

DOI10.1007/s00023-020-00890-9zbMath1436.81072arXiv1806.01572OpenAlexW3007180262WikidataQ115389933 ScholiaQ115389933MaRDI QIDQ2172978

Daniel Siemssen, Adam Latosiński, Jan Dereziński

Publication date: 22 April 2020

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.01572

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Geometry and quantization, symplectic methods (81S10) Geometric quantization (53D50)

Related Items (3)

Essential self-adjointness of Klein-Gordon type operators on asymptotically static, Cauchy-compact spacetimes ⋮ Strict deformations of quantum field theory in de Sitter spacetime ⋮ Non-self-adjointness of the Klein-Gordon operator on a globally hyperbolic and geodesically complete manifold: an example

Uses Software

• xAct
• xTras
• CovariantSeries

Cites Work

• \textit{xTras}: a field-theory inspired \textit{xAct} package for Mathematica
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• Pseudo‐differential operators
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• Introduction
• The motion of point particles in curved spacetime
• Geometric quantization of vector bundles and the correspondence with deformation quantization
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