Fisher information and quantum entropies of a 2D system under a non-central scalar and a vector potentials

Fisher information and quantum entropies of a 2D system under a non-central scalar and a vector potentials | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article Fisher information and quantum entropies of a 2D system under a non-central scalar and a vector potentials Ahmed Becir, Mustapha Moumni This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-4402782/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract In this study, we examine a 2 dimensional system influenced by a non-central potential consisting of a Kratzer potential with a dipole moment, along with a vector potential of the (AB) effect. We explore various information-theoretic measures, including Fisher information, Shannon entropy, Tsallis entropy, and Rényi entropy. Our numerical results show that the Fisher information increases with an increase in dissociation energy and decreases with rising dipole moment, Aharonov–Bohm potential strength, and both the radial and angular quantum numbers. In contrast, the Shannon entropy, the Tsallis entropy, and the Rényi entropy decrease with rising dissociation energy, while they increase with an increase in dipole moment, Aharonov–Bohm potential strength, as well as the principal and angular quantum numbers. These observations collectively indicate that the precision and localization of particles in space are enhanced by the increasing of the dissociation energy and reduced when the dipole moment, Aharonov–Bohm potential strength, and both the radial and angular quantum numbers increase. Fisher information Quantum entropies non-central Kratzer potential Vector potential. Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Posted Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-4402782","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":305667273,"identity":"7a394b8f-34ad-4052-b1e6-19b70c40cee1","order_by":0,"name":"Ahmed Becir","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAABE0lEQVRIiWNgGAWjYDACCSDmYTjAwMDMwPgAzJWASDA2EKGF2QCqBayaCC0MDGwSUBH8Wvhndyc+eMNwR46/nfdZNe8Oi8QG6ebnjwtqGGTn49AjcefsZsM5DM+MJQ6zm93mPSOR2CBzzLB5xjEG40Zc1tzI3SbNw3A4cQMzG9tt3jYJY/sbCYbNPGwMic04dMjfyN3+G6ilHqSlGKSFQSL9YzPPP4bENhxaDIC2MAO1JBgAtTADtcgxSOQYNvO2MST24NBieCN3s+Qcg2eGMw6zMUvOBWmROVM4m7dPwngGDi1yN3I3fnhTcUeev/8Y44e3bXU8DNLtGz7zfLPBGWJQ52EKSeBTPwpGwSgYBaOAAAAAattTdzGVCb8AAAAASUVORK5CYII=","orcid":"","institution":"University of Batna 1","correspondingAuthor":true,"prefix":"","firstName":"Ahmed","middleName":"","lastName":"Becir","suffix":""},{"id":305667274,"identity":"5357badc-3bc9-45fa-8a25-264f98f94f32","order_by":1,"name":"Mustapha Moumni","email":"","orcid":"","institution":"University of Batna 1","correspondingAuthor":false,"prefix":"","firstName":"Mustapha","middleName":"","lastName":"Moumni","suffix":""}],"badges":[],"createdAt":"2024-05-10 23:08:17","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-4402782/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-4402782/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":57576280,"identity":"9c10394a-3d66-4d08-aea3-c4b25c044ddb","added_by":"auto","created_at":"2024-06-02 19:01:28","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":446978,"visible":true,"origin":"","legend":"","description":"","filename":"ArticleBecir2.pdf","url":"https://assets-eu.researchsquare.com/files/rs-4402782/v1_covered_e65b8a38-4e1f-4174-9ffb-e2915a400d09.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Fisher information and quantum entropies of a 2D system under a non-central scalar and a vector potentials","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":true,"highlight":"","institution":"","isAcceptedByJournal":false,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true},"keywords":"Fisher information, Quantum entropies, non-central Kratzer potential, Vector potential.","lastPublishedDoi":"10.21203/rs.3.rs-4402782/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-4402782/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"In this study, we examine a 2 dimensional system influenced by a non-central potential consisting of a Kratzer potential with a dipole moment, along with a vector potential of the (AB) effect. 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