6 citations · 11 across the 4 of their papers we have counts for
5 papers
Regularities of ground states of quantum field models
Asao Arai, Masao Hirokawa, Fumio Hiroshima
Regularities and higher order regularities of ground states of quantum field models are investigated through the fact that asymptotic annihilation operators vanish ground states. M…
Multiplicity of ground states in quantum field models: applications of asymptotic fields
Fumio Hiroshima
The ground states of an abstract model in quantum field theory are investigated. By means of the asymptotic field theory, we give a necessary and sufficient condition for that the…
Local exponents and infinitesimal generators of canonical transformations on Boson Fock spaces
F. Hiroshima, K. R. Ito
A one-parameter symplectic group $\{e^{t\dA}\}_{t\in\RR}$ derives proper canonical transformations on a Boson Fock space. It has been known that the unitary operator implemen…
Ground state degeneracy of the Pauli-Fierz Hamiltonian inlcuding spin
F. Hiroshima, H. Spohn
We consider an electron, spin 1/2, minimally coupled to the quantized radiation field in the nonrelativistic approximation, a situation defined by the Pauli-Fierz Hamiltonian .…
Ground state properties of the Nelson Hamiltonian - A Gibbs measure-based approach
Volker Betz, Fumio Hiroshima, Jozsef Lorinczi +2
We study properties of the ground state of the Nelson model through functional integration. We obtain bounds on the average and the variance of the Bose field both in position and…