{"title":"确定一维分数量子谐振子的费舍尔和香农信息","authors":"A. Boumali, K. Zazoua, F. Serdouk","doi":"arxiv-2409.11916","DOIUrl":null,"url":null,"abstract":"This study employs the Riesz-Feller fractional derivative to determine Fisher\nand Shannon parameters for a one-dimensional harmonic oscillator. By deriving\nthe Riesz fractional derivative of the probability density function, we\nquantify both Fisher information and Shannon entropy, thus providing valuable\ninsights into the system's probabilistic nature.","PeriodicalId":501312,"journal":{"name":"arXiv - MATH - Mathematical Physics","volume":"149 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Determination of Fisher and Shannon Information for 1D Fractional Quantum Harmonic Oscillator\",\"authors\":\"A. Boumali, K. Zazoua, F. Serdouk\",\"doi\":\"arxiv-2409.11916\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This study employs the Riesz-Feller fractional derivative to determine Fisher\\nand Shannon parameters for a one-dimensional harmonic oscillator. By deriving\\nthe Riesz fractional derivative of the probability density function, we\\nquantify both Fisher information and Shannon entropy, thus providing valuable\\ninsights into the system's probabilistic nature.\",\"PeriodicalId\":501312,\"journal\":{\"name\":\"arXiv - MATH - Mathematical Physics\",\"volume\":\"149 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Mathematical Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2409.11916\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Mathematical Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.11916","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Determination of Fisher and Shannon Information for 1D Fractional Quantum Harmonic Oscillator
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.
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