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Phys. J. C"],"abstract":"<jats:title>Abstract<\/jats:title><jats:p>We present a quantum treatment of the Jeans gravitational instability in the Newtonian limit of the non-minimal matter-curvature coupling gravity model. By relying on Wigner functions, allowing for the representation of quantum states in a classical phase space, we formulate a quantum kinetic treatment of this problem, generalizing the classical kinetic approach (Gomes in Eur Phys J C 80:633, 2020). This allows us to study the interplay between non-minimal matter-curvature coupling effects, quantum effects, and kinetic (finite-temperature) effects, on the Jeans criterion. We study in detail special cases of the model (general relativity, <jats:italic>f<\/jats:italic>(<jats:italic>R<\/jats:italic>) theories, pure non-minimal coupling, etc.) and confront the model with the observed stability of Bok globules.<\/jats:p>","DOI":"10.1140\/epjc\/s10052-023-11184-9","type":"journal-article","created":{"date-parts":[[2023,1,19]],"date-time":"2023-01-19T08:20:54Z","timestamp":1674116454000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":12,"title":["Quantum kinetic theory of Jeans instability in non-minimal matter-curvature coupling gravity"],"prefix":"10.1140","volume":"83","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-6022-459X","authenticated-orcid":false,"given":"Cl\u00e1udio","family":"Gomes","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0515-6728","authenticated-orcid":false,"given":"Kamel","family":"Ourabah","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2023,1,19]]},"reference":[{"key":"11184_CR1","doi-asserted-by":"publisher","first-page":"4","DOI":"10.12942\/lrr-2014-4","volume":"17","author":"CM Will","year":"2014","unstructured":"C.M. 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