Thermodynamic Analysis for Harmonic Oscillator with Position-Dependent Mass

Thermodynamic Analysis for Harmonic Oscillator with Position-Dependent Mass | 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 Thermodynamic Analysis for Harmonic Oscillator with Position-Dependent Mass Daniel SABI TAKOU, Assimiou YAROU MORA, Gabriel Y. H. AVOSSEVOU This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-6710891/v1 This work is licensed under a CC BY 4.0 License Status: Under Review Version 1 posted 5 You are reading this latest preprint version Abstract In this paper, we examine the thermodynamic behavior of a quantum harmonic oscillator with a position-dependent mass (PDM), where spatial inhomogeneity is modeled through a deformation parameter α. Based on the exact energy spectrum, we explore the resulting thermodynamic quantities and superstatistics. Our findings reveal that increasing α leads to a decrease in entropy and specific heat, reflecting a confinement-induced reduction in the number of accessible states. The partition function and free energy exhibit smooth behavior across all parameter regimes, indicating the absence of critical phase transitions. This study underscores the influence of mass deformation on quantum thermal responses and demonstrates that, while the overall thermodynamic trends are consistent with those reported in the literature, certain distinctive features emerge due to the specific form of the deformation. Thermodynaic properties Superstatistics Properties Schrodinger equation Harmonic oscillator Position dependent mass Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Under Review Version 1 posted Reviewers agreed at journal 28 Feb, 2026 Reviewers invited by journal 23 Feb, 2026 Editor assigned by journal 26 May, 2025 Submission checks completed at journal 24 May, 2025 First submitted to journal 20 May, 2025 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. 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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-6710891","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":598611112,"identity":"edd45443-43dd-40a4-952d-8e361b8fe59a","order_by":0,"name":"Daniel SABI TAKOU","email":"data:image/png;base64,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","orcid":"","institution":"Ecole Polytechnique d’Abomey Calavi (EPAC-UAC), Université d’Abomey-Calavi, Benin","correspondingAuthor":true,"prefix":"","firstName":"Daniel","middleName":"SABI","lastName":"TAKOU","suffix":""},{"id":598611113,"identity":"073c402b-e0ed-44ba-b1d4-153a0c87780a","order_by":1,"name":"Assimiou YAROU MORA","email":"","orcid":"","institution":"Institut de Mathématiques et de Sciences Physiques (IMSP), Université d’Abomey-Calavi","correspondingAuthor":false,"prefix":"","firstName":"Assimiou","middleName":"YAROU","lastName":"MORA","suffix":""},{"id":598611114,"identity":"a0eeb9ed-df3b-4af6-9655-d4f0ef9abb21","order_by":2,"name":"Gabriel Y. 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