28 citations · 60 across the 15 of their papers we have counts for
16 papers
Partition functions for non-commutative harmonic oscillators and related divergent series
Kazufumi Kimoto, Masato Wakayama
The heat kernel (or propagator) of the quantum harmonic oscillator (qHO) is given by the Mehler formula, and the partition function is obtained by taking its trace. In general, the…
Highest weight vectors in plethysms
Kazufumi Kimoto, Soo Teck Lee
We realize the -modules and as spaces of polynomial functions on matrices. In the case $k=3…
Apéry-like numbers for non-commutative harmonic oscillators and automorphic integrals
Kazufumi Kimoto, Masato Wakayama
The purpose of the present paper is to study the number theoretic properties of the special values of the spectral zeta functions of the non-commutative harmonic oscillator (NcHO),…
Determinant expressions of constraint polynomials and the spectrum of the asymmetric quantum Rabi model
Kazufumi Kimoto, Cid Reyes-Bustos, Masato Wakayama
The purpose of this paper is to study the exceptional eigenvalues of the asymmetric quantum Rabi models (AQRM), specifically, to determine the degeneracy of their eigenstates. Here…
Wreath determinants for group-subgroup pairs
Kei Hamamoto, Kazufumi Kimoto, Kazutoshi Tachibana +1
The aim of the present paper is to generalize the notion of the group determinants for finite groups. For a finite group of order and its subgroup of order , one ma…
Averages of alpha-determinants over permutations
Kazufumi Kimoto
We show that certain weighted average of the alpha-determinant of a by matrix of the form , the Kronecker product of a by matrix and by…