The Segal-Shale-Weil representation, the indices of Kashiwara and Maslov, and quantum mechanics

DOI10.1016/j.exmath.2015.12.001zbMath1339.81058OpenAlexW2265791492MaRDI QIDQ281906

Michael C. Berg

Publication date: 11 May 2016

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.exmath.2015.12.001

zbMATH Keywords

Maslov indexWeil representationphase integral

Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10) Lagrangian submanifolds; Maslov index (53D12) Adèle rings and groups (11R56)

Cites Work

• Metaplectic forms
• The Weil representation, Maslov index and theta series
• Weil's representation and the spectrum of the metaplectic group
• p-adic quantum mechanics
• On some explicit formulas in the theory of Weil representation
• Die Eindeutigkeit der Schrödingerschen Operatoren
• Symplectic geometry and quantum mechanics
• Topological covering of SL(2) over a local field
• Non-additivity of the signature
• Sur certains groupes d'opérateurs unitaires
• Fourier integral operators. I
• Condensed Matter Field Theory
• Tensor Algebras Over Hilbert Spaces. I
• Foundations of the Theory of Dynamical Systems of Infinitely Many Degrees of Freedom, II
• Quantum mechanics on p-adic fields
• Harmonic Analysis in Phase Space. (AM-122)
• On the maslov index
• Quantised singularities in the electromagnetic field,
• Linear Symmetries of Free Boson Fields
• Sur les sous-groupes arithmétiques des groupes semi-simples déployés
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The Segal-Shale-Weil representation, the indices of Kashiwara and Maslov, and quantum mechanics