\(p\)-adic Heisenberg group and Maslov index

DOI10.1007/BF02096724zbMath0794.22009MaRDI QIDQ1308479

E. I. Zelenov

Publication date: 18 August 1994

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

intertwining operatorHeisenberg groupquantizationMaslov indexunitary irreducible representation\(p\)-adic symplectic spaceselfdual \(\mathbb{Z}_ p\)-lattices

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Analysis on (p)-adic Lie groups (22E35) Geometric quantization (53D50)

Related Items (6)

Algebraic Weyl system and application ⋮ On \(p\)-adic mathematical physics ⋮ A journey throughout the history of 𝑝-adic numbers ⋮ Methods and applications of ultrametric and \(p\)-adic analysis: from wavelet theory to biophysics ⋮ Quantum mechanics on ${\mathbb Q}/{\mathbb Z}$Q/Z ⋮ On geometrical interpretation of the \(p\)-adic Maslov index

Cites Work

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• The Weil representation, Maslov index and theta series
• p-adic quantum mechanics
• Sur certains groupes d'opérateurs unitaires
• QUANTUM MECHANICS WITH p-ADIC NUMBERS
• Quantum mechanics on p-adic fields

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