Spectral problems of system of differential equations
Application of representation theory to number theory
Analysis and invariant theory based on group symmetries
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論文 (18件):
Kazufumi Kimoto, Masato Wakayama. Partition functions for non-commutative harmonic oscillators and related divergent series. Indagationes Mathematicae. 2024
Kazufumi Kimoto, Masato Wakayama. Apéry-like numbers for non-commutative harmonic oscillators and automorphic integrals. Annales de l’Institut Henri Poincaré D. 2022
Cid Reyes-Bustos, Masato Wakayama. Heat kernel for the quantum Rabi model: II. Propagators and spectral determinants. Journal of Physics A: Mathematical and Theoretical. 2021. 54. 11
Kazufumi Kimoto, Cid Reyes-Bustos, Masato Wakayama. Determinant Expressions of Constraint Polynomials and the Spectrum of the Asymmetric Quantum Rabi Model. International Mathematics Research Notices. 2020
Cid Reyes-Bustos, Masato Wakayama. Spectral Degeneracies in the Asymmetric Quantum Rabi Model. Mathematical Modelling for Next-Generation Cryptography. 2017. 117-137