13 citations · 24 across the 6 of their papers we have counts for
6 papers
Existence of the ground state for the Pauli-Fierz model with a variable mass
Takeru Hidaka
The Pauli-Fierz model with a variable mass is considered. An ultraviolet cutoff and an infrared regularity condition are imposed on a quantized radiation field. It is shown tha…
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…
Spectrum of the semi-relativistic Pauli-Fierz model I
Takeru Hidaka, Fumio Hiroshima
HVZ type theorem for semi-relativistic Pauli-Fierz Hamiltonian, $$\HHH=\sqrt{(p\otimes \one -A)^2+M^2}+V\otimes \one +\one\otimes \hf,\quad M\geq 0,$$ in quantum electrodynamics is…
Self-adjointness of semi-relativistic Pauli-Fierz Hamiltonian
Takeru Hidaka, Fumio Hiroshima
The spinless semi-relativistic Pauli-Fierz Hamiltonian in quantum electrodynamics is considered. The self-adjointness and essential self-adjointness of are shown. It is emp…
Existence of a ground state for the Nelson model with a singular perturbation
T. Hidaka
The existence of a ground state of the Nelson Hamiltonian with a perturbation is considered. The self-adjointness of the Hamiltonian and the existence of a ground state are proven…
Pauli-Fierz model with Kato-class potentials and exponential decays
T. Hidaka, F. Hiroshima
Generalized Pauli-Fierz Hamiltonian with Kato-class potential $\KPF$ in nonrelativistic quantum electrodynamics is defined and studied by a path measure. $\KPF$ is defined as the s…