\(p\)-adic quantum mechanics and coherent states. I. Weyl systems

DOI10.1007/BF01016165zbMath0737.22014MaRDI QIDQ1176955

E. I. Zelenov

Publication date: 25 June 1992

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

symplectic groupcanonical commutation relationscoherent statesrepresentation spaceunitary equivalence\(p\)-adic quantum mechanicssubductionirreducible Weyl systems

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Analysis on (p)-adic Lie groups (22E35)

Related Items (6)

Algebraic Weyl system and application ⋮ Models of \(p\)-adic mechanics ⋮ Coherent states of the \(p\)-adic Heisenberg group and entropic uncertainty relations ⋮ Adelic decoherence ⋮ Covariant mutually unbiased bases ⋮ Methods and applications of ultrametric and \(p\)-adic analysis: from wavelet theory to biophysics

Cites Work

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• P-adic Schrödinger-type equation
• The Weil representation, Maslov index and theta series
• p-adic quantum mechanics
• Sur certains groupes d'opérateurs unitaires

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