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Journals / Turkish Journal of Physics / 2008 / Cilt: 32 - Sayı: 5

Fractional Poisson Bracket

Alireza Khalili GOLMANKHANEH
Pages
241–250
DOI
—
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AI Summary & Key Takeaways

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

Illustrative examples have been worked out to explain the formalism.

📌 3 Key Takeaways

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Objective & Hypothesis:In the present paper fractional Hamilton-Jacobi equation has been derived for dynamical systems involving the Caputo derivative.
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Key Findings & Data:Fractional Poisson-bracket is introduced.
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Conclusion & Impact:Illustrative examples have been worked out to explain the formalism.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Hamilton-Jacobi quantized equation · Riemann-Liouville derivative · Caputo derivative

Abstract

In the present paper fractional Hamilton-Jacobi equation has been derived for dynamical systems involving the Caputo derivative. Fractional Poisson-bracket is introduced. Further Hamilton's canonical equations are formulated and quantum wave equation corresponds to the fractional Hamilton-Jacobi equation is suggested. Illustrative examples have been worked out to explain the formalism.

Özet

In the present paper fractional Hamilton-Jacobi equation has been derived for dynamical systems involving the Caputo derivative. Fractional Poisson-bracket is introduced. Further Hamilton's canonical equations are formulated and quantum wave equation corresponds to the fractional Hamilton-Jacobi equation is suggested. Illustrative examples have been worked out to explain the formalism.

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Cite This Article

GOLMANKHANEH, A. K. (2008). Fractional Poisson Bracket. Turkish Journal of Physics, Cilt: 32 - Sayı: 5, 241–250. https://ajindex.com/articles/378108

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