4 papers
math.RT2026
Holographic operators for the tensor products of the spaces of holomorphic functions on Hermitian symmetric spaces of tube type
Ryosuke Nakahama
We consider a tensor product of two spaces of holomorphic functions on a Hermitian symmetric space of tube type. Then generically this is decomposed into a direct sum of irreducibl…
math-ph2026
Special values of spectral zeta functions of one-, two-photon quantum Rabi models and non-commutative harmonic oscillators
Ryosuke Nakahama
We find explicit expressions of the special values of the Hurwitz-type spectral zeta function for the Hamiltonians of the one-photon quantum Rabi m…
math-ph2024
Equivalence between non-commutative harmonic oscillators and two-photon quantum Rabi models
Ryosuke Nakahama
We prove that the non-commutative harmonic oscillator on introduced by Parmeggiani and Wakayama is equivalent to the two-photon quantum Rabi mo…
math-ph2023
Representation theory of and a generalization of non-commutative harmonic oscillators
Ryosuke Nakahama
The non-commutative harmonic oscillator (NCHO) was introduced as a specific Hamiltonian operator on by Parmeggiani and Wakayama. Then it was pr…