# Transport equations for oscillating neutrinos

## Author(s): Zhang, Yunfan; Burrows, Adam S

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 Abstract: We derive a suite of generalized Boltzmann equations, based on the density-matrix formalism, that incorporates the physics of neutrino oscillations for two- and three-flavor oscillations, matter refraction, and self-refraction. The resulting equations are straightforward extensions of the classical transport equations that nevertheless contain the full physics of quantum oscillation phenomena. In this way, our broadened formalism provides a bridge between the familiar neutrino transport algorithms employed by supernova modelers and the more quantum-heavy approaches frequently employed to illuminate the various neutrino oscillation effects. We also provide the corresponding angular-moment versions of this generalized equation set. Our goal is to make it easier for astrophysicists to address oscillation phenomena in a language with which they are familiar. The equations we derive are simple and practical, and are intended to facilitate progress concerning oscillation phenomena in the context of core-collapse supernova theory. Publication Date: 15-Nov-2013 Electronic Publication Date: 8-Nov-2013 Citation: Zhang, Yunfan, Burrows, Adam. (2013). Transport equations for oscillating neutrinos. prd, 88 (105009 - 105009. doi:10.1103/PhysRevD.88.105009 DOI: doi:10.1103/PhysRevD.88.105009 Type of Material: Journal Article Journal/Proceeding Title: PHYSICAL REVIEW D Version: Final published version. This is an open access article.