11 citations · 48 across the 20 of their papers we have counts for
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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…
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…
Spectrum of the semi-relativistic Pauli-Fierz model II
Takeru Hidaka, Fumio Hiroshima, Itaru Sasaki
We consider the semi-relativistic Pauli-Fierz Hamiltonian and prove the existence of the ground state of…
Embedded Eigenvalues and Neumann-Wigner Potentials for Relativistic Schrodinger Operators
Jozsef Lorinczi, Itaru Sasaki
The existence of potentials for relativistic Schrodinger operators allowing eigenvalues embedded in the essential spectrum is a long-standing open problem. We construct Neumann-Wig…