Constraints on a generalization of geometric quantum mechanics from neutrino and B0- B 0 ¯ $$ \overline{B^0} $$ oscillations

Bhatta, NabinMinic, DjordjeTakeuchi, Tatsu2024-02-122024-02-122024-02-05Journal of High Energy Physics. 2024 Feb 05;2024(2):31https://hdl.handle.net/10919/117964Abstract Nambu Quantum Mechanics, proposed in Phys. Lett. B536, 305 (2002), is a deformation of canonical Quantum Mechanics in which the manifold over which the “phase” of an energy eigenstate time evolves is modified. This generalization affects oscillation and interference phenomena through the introduction of two deformation parameters that quantify the extent of deviation from canonical Quantum Mechanics. In this paper, we constrain these parameters utilizing atmospheric neutrino oscillation data, and B0- B 0 ¯ $$ \overline{B^0} $$ oscillation data from Belle. Surprisingly, the bound from atmospheric neutrinos is stronger than the bound from Belle. Various features of Nambu Quantum Mechanics are also discussed.application/pdfenCreative Commons Attribution 4.0 InternationalConstraints on a generalization of geometric quantum mechanics from neutrino and B0- B 0 ¯ $$ \overline{B^0} $$ oscillationsArticle - Refereed2024-02-11The Author(s)Journal of High Energy Physicshttps://doi.org/10.1007/JHEP02(2024)031