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Cid Reyes Bustos
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論文
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- 2022
- Covering models of the asymmetric quantum Rabi model: η-shifted non-commutative harmonic oscillators (若山正人と共同研究). Preprint 2022. arXiv:2209.14665.
- 2020
- The heat kernel of the asymmetric quantum Rabi model. Preprint 2020. arxiv:2012.13595
論文と本の章
- 2022
- Heat kernel for the quantum Rabi model (若山正人と共同研究).. Adv. Theor. Math. Phys. 26 (5), 2022. In print. Preprint: arxiv:1906.09597.
- 2022
- 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.
- 2021
- 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
- 2021
- 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
- 2020
- 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
- 2018
- 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.
- 2017
- 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
- 2016
- 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
レポートとその他論文
- 2019
- Degeneracy structure of the spectrum of the asymmetric quantum Rabi model. RIMS Kôkyûroku 2123 (2019). Mathematical aspects of quantum fields and related topics.
- 2019
- A simple continued fraction expansion for \(e^n\). Preprint 2019. arxiv:1909.13597
- 2018
- 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.
- 2014
- Group-subgroup pair graphs. RIMS Kôkyûroku 1925 (2014). New Developments of Representation Theory and Harmonic Analysis. Research Institute for Mathematical Science. Kyoto University.