Journals / Turkish Journal of Physics / 2006 / Cilt: 30 - Sayı: 5

Degenerate Spin Structures and the Lévy-Leblond Equation

Pages
411–417
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Levy-Leblond equation is constructed with the lifted connection.

📌 3 Key Takeaways

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Objective & Hypothesis:Newton-Cartan manifolds and the Galilei group are defined by the use of co-rank one degenerate metric tensor.
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Key Findings & Data:Newton-Cartan connection is lifted to the degenerate spinor bundle over a Newton-Cartan 4-manifold by the aid of degenerate spin group.
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Conclusion & Impact:Levy-Leblond equation is constructed with the lifted connection.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Turk. J. Phys. · (2006) · 411-418. Full text: pdf Other articles published in the same issue: Turk. J. Phys.

Abstract

Newton-Cartan manifolds and the Galilei group are defined by the use of co-rank one degenerate metric tensor. Newton-Cartan connection is lifted to the degenerate spinor bundle over a Newton-Cartan 4-manifold by the aid of degenerate spin group. Levy-Leblond equation is constructed with the lifted connection.

Özet

Newton-Cartan manifolds and the Galilei group are defined by the use of co-rank one degenerate metric tensor. Newton-Cartan connection is lifted to the degenerate spinor bundle over a Newton-Cartan 4-manifold by the aid of degenerate spin group. Levy-Leblond equation is constructed with the lifted connection.

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Cite This Article

DERELİ, T., KOÇAK, Ş., LİMONCU, M. (2006). Degenerate Spin Structures and the Lévy-Leblond Equation. Turkish Journal of Physics, Cilt: 30 - Sayı: 5, 411–417. https://ajindex.com/articles/378171

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