11 citations · 48 across the 20 of their papers we have counts for
22 papers
Representation Theory of Canonical Commutation Relations Arising from the Quantization of the Klein-Gordon Equation with an External Potential
Yasumichi Matsuzawa, Itaru Sasaki, Akito Suzuki
We investigate the Weyl representation of the canonical commutation relations for a model describing a quantized massive scalar field under the influence of an external potential.…
Holomorphy of the ground state and energy for bosonic quadratic Hamiltonians
Kota Imura, Shinnosuke Izumi, Yasumichi Matsuzawa +1
We study the holomorphy of the ground state and its energy with respect to the coupling constant for bosonic quadratic Hamiltonians. We prove general theorems establishing this hol…
Absence of Embedded Eigenvalues for Non-Local Schrödinger Operators
Atsuhide Ishida, József Lőrinczi, Itaru Sasaki
We consider non-local Schrödinger operators with kinetic terms given by several different types of functions of the Laplacian and potentials decaying to zero at infinity, and deriv…
Explicit Diagonalization of Pair Interaction Models
Yasumichi Matsuzawa, Itaru Sasaki, Kyosuke Usami
We provide a general method for constructing bosonic Bogoliubov transformations that diagonalize a general class of quadratic Hamiltonians. These Hamiltonians describe the pair int…
Time operators for continuous-time and discrete-time quantum walks
Daiju Funakawa, Yasumichi Matsuzawa, Akito Suzuki +2
We construct concrete examples of time operators for both continuous and discrete-time homogeneous quantum walks, and we determine their deficiency indices and spectra. For a discr…
A Mathematical Analysis of Dressed Photon in Ground State of Generalized Quantum Rabi Model Using Pair Theory
Masao Hirokawa, Jacob Schach Moller, Itaru Sasaki
We consider the generalized quantum Rabi model with the so-called -term in the light of the Hepp-Lieb-Preparata quantum phase transition. We investigate the dressed photon i…