{"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}
引用次数: 0
Abstract
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.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
