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- Alireza Khalili Golmankhaneh
- Young Researchers and Elite Club, Urmia Branch, Islamic Azad University, Urmia A82, Iran
書誌事項
- 公開日
- 2019-04-17
- 権利情報
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- https://creativecommons.org/licenses/by/4.0/
- DOI
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- 10.3390/fractalfract3020020
- 公開者
- MDPI AG
説明
<jats:p>In this paper, the Schrödinger equation involving a fractal time derivative is solved and corresponding eigenvalues and eigenfunctions are given. A partition function for fractal eigenvalues is defined. For generalizing thermodynamics, fractal temperature is considered, and adapted equations are defined. As an application, we present fractal Dulong-Petit, Debye, and Einstein solid models and corresponding fractal heat capacity. Furthermore, the density of states for fractal spaces with fractional dimension is obtained. Graphs and examples are given to show details.</jats:p>
収録刊行物
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- Fractal and Fractional
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Fractal and Fractional 3 (2), 20-, 2019-04-17
MDPI AG