Relating quantum mechanics and kinetics of neutrino oscillations
Abstract Simultaneous treatment of neutrino oscillations and collisions in astrophysical environments requires the use of (quantum) kinetic equations. Despite major advances in the field of quantum kinetics, the structure of the kinetic equations and their consistency with the uncertainty principle...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2020)138 |
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| _version_ | 1823863616139427840 |
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| author | A. Kartavtsev |
| author_facet | A. Kartavtsev |
| author_sort | A. Kartavtsev |
| collection | DOAJ |
| description | Abstract Simultaneous treatment of neutrino oscillations and collisions in astrophysical environments requires the use of (quantum) kinetic equations. Despite major advances in the field of quantum kinetics, the structure of the kinetic equations and their consistency with the uncertainty principle are still debated. The goals of the present work are threefold. First, it clarifies the structure of the Liouville term in the presence of mixing. Second, we derive evolution equation for neutrinos propagating in vacuum or matter from the Schrödinger equation and show that in the relativistic limit its form matches the form of the (collisionless part of the) kinetic equation derived by Sigl and Raffelt. Third, by constructing solutions of the evolution equation from the known solutions of the Schrödinger equation, we show that the former also admits solutions consistent with the uncertainty principle and accounts for neutrino wave packet separation. The obtained results speak in favor of a (quantum) kinetic approach to the analysis of neutrino propagation in exploding supernovae where neutrino oscillations and collisions, as well as the effect of wave packet separation, might be equally important. |
| format | Article |
| id | doaj-art-8c0b54014c78480ea8883c628b2e27c1 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-8c0b54014c78480ea8883c628b2e27c12025-02-09T12:05:49ZengSpringerOpenJournal of High Energy Physics1029-84792020-01-012020113510.1007/JHEP01(2020)138Relating quantum mechanics and kinetics of neutrino oscillationsA. Kartavtsev0P.G. Demidov Yaroslavl State UniversityAbstract Simultaneous treatment of neutrino oscillations and collisions in astrophysical environments requires the use of (quantum) kinetic equations. Despite major advances in the field of quantum kinetics, the structure of the kinetic equations and their consistency with the uncertainty principle are still debated. The goals of the present work are threefold. First, it clarifies the structure of the Liouville term in the presence of mixing. Second, we derive evolution equation for neutrinos propagating in vacuum or matter from the Schrödinger equation and show that in the relativistic limit its form matches the form of the (collisionless part of the) kinetic equation derived by Sigl and Raffelt. Third, by constructing solutions of the evolution equation from the known solutions of the Schrödinger equation, we show that the former also admits solutions consistent with the uncertainty principle and accounts for neutrino wave packet separation. The obtained results speak in favor of a (quantum) kinetic approach to the analysis of neutrino propagation in exploding supernovae where neutrino oscillations and collisions, as well as the effect of wave packet separation, might be equally important.https://doi.org/10.1007/JHEP01(2020)138Neutrino PhysicsSolar and Atmospheric Neutrinos |
| spellingShingle | A. Kartavtsev Relating quantum mechanics and kinetics of neutrino oscillations Journal of High Energy Physics Neutrino Physics Solar and Atmospheric Neutrinos |
| title | Relating quantum mechanics and kinetics of neutrino oscillations |
| title_full | Relating quantum mechanics and kinetics of neutrino oscillations |
| title_fullStr | Relating quantum mechanics and kinetics of neutrino oscillations |
| title_full_unstemmed | Relating quantum mechanics and kinetics of neutrino oscillations |
| title_short | Relating quantum mechanics and kinetics of neutrino oscillations |
| title_sort | relating quantum mechanics and kinetics of neutrino oscillations |
| topic | Neutrino Physics Solar and Atmospheric Neutrinos |
| url | https://doi.org/10.1007/JHEP01(2020)138 |
| work_keys_str_mv | AT akartavtsev relatingquantummechanicsandkineticsofneutrinooscillations |