000118188 001__ 118188 000118188 005__ 20240319081020.0 000118188 0247_ $$2doi$$a10.1103/PhysRevD.105.126013 000118188 0248_ $$2sideral$$a129576 000118188 037__ $$aART-2022-129576 000118188 041__ $$aeng 000118188 100__ $$aGubitosi, G. 000118188 245__ $$aDouble quantization 000118188 260__ $$c2022 000118188 5060_ $$aAccess copy available to the general public$$fUnrestricted 000118188 5203_ $$aIn a quantum gravity theory, it is expected that the classical notion of spacetime disappears, leading to a quantum structure with new properties. A possible way to take into account these quantum effects is through a noncommutativity of spacetime coordinates. In the literature, there is not a clear way to describe at the same time a noncommutativity of spacetime and the phase-space noncommutativity of quantum mechanics. In this paper we address this issue by constructing a Drinfel''d twist in phase space which deals with both quantizations. This method can be applied to a noncommutativity which involves only space, leaving time aside. We apply our construction to the so-called ?-Minkowski and R?3 noncommutative spaces. © 2022 authors. Published by the American Physical Society. 000118188 536__ $$9info:eu-repo/grantAgreement/ES/AEI/PID2019-105614GB-C21 000118188 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttp://creativecommons.org/licenses/by/3.0/es/ 000118188 590__ $$a5.0$$b2022 000118188 592__ $$a1.639$$b2022 000118188 591__ $$aPHYSICS, PARTICLES & FIELDS$$b7 / 29 = 0.241$$c2022$$dQ1$$eT1 000118188 593__ $$aPhysics and Astronomy (miscellaneous)$$c2022$$dQ1 000118188 591__ $$aASTRONOMY & ASTROPHYSICS$$b15 / 69 = 0.217$$c2022$$dQ1$$eT1 000118188 593__ $$aNuclear and High Energy Physics$$c2022$$dQ1 000118188 594__ $$a9.2$$b2022 000118188 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000118188 700__ $$aLizzi, F. 000118188 700__ $$0(orcid)0000-0003-1130-3982$$aRelancio, J. J. 000118188 700__ $$aVitale, P. 000118188 773__ $$g105, 12 (2022), 126013 [12 pp]$$pPhys. rev. D$$tPhysical Review D$$x2470-0010 000118188 8564_ $$s320446$$uhttps://zaguan.unizar.es/record/118188/files/texto_completo.pdf$$yVersión publicada 000118188 8564_ $$s2729360$$uhttps://zaguan.unizar.es/record/118188/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000118188 909CO $$ooai:zaguan.unizar.es:118188$$particulos$$pdriver 000118188 951__ $$a2024-03-18-16:03:31 000118188 980__ $$aARTICLE