3 papers
math.FA2026
Poisson operator on the interacting Fock space associated with a discrete-time quantum walk
Daiju Funakawa, Daiju Funawaka, Yuki Ueda +1
We study the Poisson operator on the interacting Fock space associated with a discrete-time quantum walk, which we call the QW-Poisson operator. First, we investigate the spectral…
math-ph2025
Two-dimensional quantum central limit theorem by quantum walks
Keisuke Asahara, Daiju Funakawa, Motoki Seki +1
The weak limit theorem (WLT), the quantum analogue of the central limit theorem, is foundational to quantum walk (QW) theory. Unlike the universal Gaussian limit of classical walks…
math-ph2025
Spectral analysis of Dirac operators for fermion scattering on topological solitons in the nonlinear -model
Daiju Funakawa, Satoshi Okumura, Yuki Ueda
We investigate the existence of discrete positive or negative energy ground states of the Dirac operator which describe the fermion scattering on topological solitons in the no…