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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2409.11916 |
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| _version_ | 1866913506276671488 |
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| author | Boumali, A. Zazoua, K. Serdouk, F. |
| author_facet | Boumali, A. Zazoua, K. Serdouk, F. |
| contents | This study employs the Riesz-Feller fractional derivative to determine Fisher and Shannon parameters for a one-dimensional harmonic oscillator. By deriving the Riesz fractional derivative of the probability density function, we quantify both Fisher information and Shannon entropy, thus providing valuable insights into the system's probabilistic nature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_11916 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Determination of Fisher and Shannon Information for 1D Fractional Quantum Harmonic Oscillator Boumali, A. Zazoua, K. Serdouk, F. Mathematical Physics This study employs the Riesz-Feller fractional derivative to determine Fisher and Shannon parameters for a one-dimensional harmonic oscillator. By deriving the Riesz fractional derivative of the probability density function, we quantify both Fisher information and Shannon entropy, thus providing valuable insights into the system's probabilistic nature. |
| title | Determination of Fisher and Shannon Information for 1D Fractional Quantum Harmonic Oscillator |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2409.11916 |