Constraints on a Generalization of Geometric Quantum Mechanics from Neutrino and $B^0$-$\overline{B^0}$ Oscillations
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arXiv
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| Natura: | Preprint |
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2023
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| _version_ | 1866916230063980544 |
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| author | Bhatta, Nabin Minic, Djordje Takeuchi, Tatsu |
| author_facet | Bhatta, Nabin Minic, Djordje Takeuchi, Tatsu |
| contents | 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 $B^0$-$\overline{B^0}$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_07457 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Constraints on a Generalization of Geometric Quantum Mechanics from Neutrino and $B^0$-$\overline{B^0}$ Oscillations Bhatta, Nabin Minic, Djordje Takeuchi, Tatsu High Energy Physics - Theory High Energy Physics - Phenomenology Quantum Physics 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 $B^0$-$\overline{B^0}$ 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. |
| title | Constraints on a Generalization of Geometric Quantum Mechanics from Neutrino and $B^0$-$\overline{B^0}$ Oscillations |
| topic | High Energy Physics - Theory High Energy Physics - Phenomenology Quantum Physics |
| url | https://arxiv.org/abs/2310.07457 |