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Cid Reyes Bustos

数学者

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論文

論文

  • 11. Wolstenholme primes and group determinants of cyclic groups (山口尚哉と山口由佳と共同研究) Proc. Japan Acad. Ser. A Math. Sci. 100(9): 51-55 (November 2024). doi:10.3792/pjaa.100.011. Preprint version arXiv:2311.00010.
  • 10. Zeta limits for the spectrum of quantum Rabi models (若山正人と共同研究). J. Math. Phys. 1 September 2024; 65 (9): 093503. doi:10.1063/5.0217399. Preprint version arXiv:2304.08943.
  • 9. Spacing distribution for quantum Rabi models (Daniel BraakとLinh NguyenとMasato Wakayamaと共同研究). J. Phys. A: Math. Theor. https://doi.org/10.1088/1751-8121/ad5bc7, 2024. Preprint version arXiv:2310.09811.
  • 8. The heat kernel of the asymmetric quantum Rabi model. J. Phys. A: Math. Theor. 56 425302, 2023. doi:10.1088/1751-8121/acfbc8. Preprint version arxiv:2012.13595.
  • 7. Covering models of the asymmetric quantum Rabi model: η-shifted non-commutative harmonic oscillators (若山正人と共同研究). Comm. Math. Phys. 2023. Published Online 25 August 2023. doi:10.1007/s00220-023-04825-3. SharedIt link (read-only version ここ). Preprint 2022. arXiv:2209.14665.
  • 6. Heat kernel for the quantum Rabi model (若山正人と共同研究).. Adv. Theor. Math. Phys. 26 (5), 1347-1447, 2022. doi:https:10.4310/ATMP.2022.v26.n5.a8. Preprint: arxiv:1906.09597.
  • 5. Degeneracy and hidden symmetry for the asymmetric quantum Rabi model with integral bias (若山正人と共同研究). Commun. Number Theory Phys. 17 (3) 615-672, 2022. doi:10.4310/CNTP.2022.v16.n3.a4.
  • 4. Remarks on the hidden symmetry of the asymmetric quantum Rabi model (Daniel Braakと若山正人と共同研究). J. Phys. A: Math. Theor. 54 285202, 2021. doi:10.1088/1751-8121/ac0508. Preprint 2021 arxiv:2101.04305
  • 3. Heat kernel for the quantum Rabi model II: propagators and spectral determinants (若山正人と共同研究). J. Phys. A: Math. Theor. 54 115202, 2021. doi:10.1088/1751-8121/abdca7. Preprint 2020. arXiv:2008.05354
  • 2. Determinant expressions of constraint polynomials and the spectrum of the asymmetric quantum Rabi model (木本一史と若山正人と共同研究). International Mathematics Research Notices, Volume 2021, Issue 12 (2021), 9458–9544. Published Online April 2020. doi:10.1093/imrn/rnaa034. Preprint version arxiv:1712.04152.
  • 1. Cayley-type graphs for group-subgroup pairs. Linear Algebra and its Appplications. Volume 488 (2016), pages 320-349. doi: 10.1016/j.laa.2015.09.049

本の章と議事録

  • 2. Extended divisibility relations for constraint polynomials of the asymmetric quantum Rabi model in "International Symposium on Mathematics, Quantum Theory, and Cryptography (MQC 2019)" eds. T. Takagi et al. doi:10.1007/978-981-15-5191-8_13
  • 1. Spectral degeneracies in the asymmetric quantum Rabi model (若山正人と共同研究) in "Mathematical Modelling for Next- Generation Cryptography" eds. T. Takagi et al., Mathematics for Industry, Springer, 2017. doi: 10.1007/978-981-10-5065-7 7

レポートとその他の論文

  • 5. The heat kernel of the quantum Rabi model and related models. RIMS Kôkyûroku 2200 (2021). Spectral and Scattering Theory and Related Topics. http://hdl.handle.net/2433/266214
  • 4. Degeneracy structure of the spectrum of the asymmetric quantum Rabi model. RIMS Kôkyûroku 2123 (2019). Mathematical aspects of quantum fields and related topics. http://hdl.handle.net/2433/252192
  • 3. A simple continued fraction expansion for \(e^n\). Preprint 2019. arxiv:1909.13597
  • 2. Orthogonal polynomials related to the asymmetric quantum Rabi model. Proceedings of the Symposium on Representation Theory 2018 年度表現論シンポジウム講演集. doi.org/10.34508/repsympo.2018.0_121.
  • 1. Group-subgroup pair graphs. RIMS Kôkyûroku 1925 (2014). New Developments of Representation Theory and Harmonic Analysis. Research Institute for Mathematical Science. Kyoto University. http://hdl.handle.net/2433/223486

記事

  • 2. 行列式に始まる表現論と組合せ論. (若山正人と共同研究). NTT技術ジャーナル 2024.7 pp. 29-32. doi:10.60249/24075005

    英語版： Representation Theory and Combinatorics Arising from Determinants NTT Technical Review Vol. 22, No. 9, pp. 45–52, Sept. 2024. doi:10.53829/ntr202409fa5

  • 1. 光と物質の相互作用とゼータ関数 (若山正人と共同研究). NTT技術ジャーナル 2024.7 pp. 42-46. doi:10.60249/24075008

    英語版： Light-matter Interaction and Zeta Functions NTT Technical Review Vol. 22, No. 9, pp. 65–72, Sept. 2024. doi:10.53829/ntr202409fa8

学位論文など

  • 2018. Study on the spectrum of the asymmetric quantum Rabi model. 学位論文. 九州大学. ダウンロード.
  • 2015. Cayley-type graphs for group-subgroup pairs. 修士論文. 九州大学. ダウンロード.
  • 2010. Braid-group cryptrography (スペイン語). 大学卒業論文. ダウンロード.