The quantum harmonic oscillator as a Zariski geometry

DOI10.1016/j.apal.2014.01.002zbMath1315.03061arXiv0909.4415OpenAlexW2798946536MaRDI QIDQ2442151

Vinesh Solanki, Dmitry Sustretov, B. I. Zil'ber

Publication date: 1 April 2014

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.4415

zbMATH Keywords

interpretabilityZariski geometries

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Groups and algebras in quantum theory and relations with integrable systems (81R12) Models of other mathematical theories (03C65) Galois cohomology (11R34)

Related Items (3)

The geometric semantics of algebraic quantum mechanics ⋮ GENERALISED IMAGINARIES AND GALOIS COHOMOLOGY ⋮ Equivariant Zariski structures

Cites Work

• A nonstandard Riemann existence theorem
• Zariski geometries
• On Algebraic Groups and Homogeneous Spaces
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