A discretization of p-adic quantum mechanics

DOI10.1007/BF02098045zbMath0718.22011OpenAlexW2079094390MaRDI QIDQ2639185

Yannick Meurice

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1007/bf02098045

zbMATH Keywords

representationactioncompact subgroupp-adic Heisenberg group

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Axiomatic quantum field theory; operator algebras (81T05) Analysis on (p)-adic Lie groups (22E35)

Related Items (4)

Algebraic Weyl system and application ⋮ Harmonic analysis on rational numbers ⋮ Non-Archimedean quantum mechanics via quantum groups ⋮ Quantum mechanics on ${\mathbb Q}/{\mathbb Z}$Q/Z

Cites Work

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• Quantization of linear maps on a torus-Fresnel diffraction by a periodic grating
• Non-Archimedean strings and Bruhat-Tits trees
• Some twisted self-dual solutions for the Yang-Mills equations on a hypertorus
• p-adic quantum mechanics
• Remarks on boson commutation rules
• THE CLASSICAL HARMONIC OSCILLATOR ON GALOIS AND P-ADIC FIELDS
• QUANTUM MECHANICS WITH p-ADIC NUMBERS
• Quantum mechanics on p-adic fields

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