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Journals / Turkish Journal of Physics / 2015 / Cilt: 39 - Sayı: 1

Electric and magnetic eld induced geometric phases for the 2D harmonicoscillator in noncommutative phase space

Mai-Lin LIANG
Li-Fang XU
Pages
16–23
DOI
—
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AI Summary & Key Takeaways

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

Considering that the noncommutative parameters are verysmall, it is better to use the magnetic eld rather than the electric eld for detecting the noncommutativity of spaces.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this work, we point out the phenomenon whereby the noncommutative corrections to the geometric phasesinduced by an electric eld and a magnetic eld have di erent orders in terms of the noncommutative parameters.
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Key Findings & Data:The rst order correction is zero for the electric eld induced geometric phase and it is nonzero for the magnetic eld inducedgeometric phase.
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Conclusion & Impact:Considering that the noncommutative parameters are verysmall, it is better to use the magnetic eld rather than the electric eld for detecting the noncommutativity of spaces.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this work, we point out the phenomenon whereby the noncommutative corrections to the geometric phasesinduced by an electric eld and a magnetic eld have di erent orders in terms of the noncommutative parameters. The rst order correction is zero for the electric eld induced geometric phase and it is nonzero for the magnetic eld inducedgeometric phase. In our calculation, the system is in coherent states when the electric eld is applied, so the correspondinggeometric phase calculated is that of the coherent states. Considering that the noncommutative parameters are verysmall, it is better to use the magnetic eld rather than the electric eld for detecting the noncommutativity of spaces.

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Cite This Article

LIANG, M., XU, L. (2015). Electric and magnetic eld induced geometric phases for the 2D harmonicoscillator in noncommutative phase space. Turkish Journal of Physics, Cilt: 39 - Sayı: 1, 16–23. https://ajindex.com/articles/377970

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References (1)

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