{"paper":{"title":"Time independent fractional Schrodinger equation for generalized Mie-type potential in higher dimension framed with Jumarie type fractional derivative","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Shantanu Das, Susmita Sarkar, Tapas Das, Uttam Ghosh","submitted_at":"2017-08-10T07:18:07Z","abstract_excerpt":"In this paper we obtain approximate bound state solutions of $N$-dimensional fractional time independent Schr\\\"{o}dinger equation for generalised Mie-type potential, namely $V(r^{\\alpha})=\\frac{A}{r^{2\\alpha}}+\\frac{B}{r^{\\alpha}}+C$. Here $\\alpha(0<\\alpha<1)$ acts like a fractional parameter for the space variable $r$. When $\\alpha=1$ the potential converts into the original form of Mie-type of potential that is generally studied in molecular and chemical physics. The entire study is composed with Jumarie type fractional derivative approach. The solution is expressed via Mittag-Leffler functi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.03100","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}