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Note on the spectrum of discrete Schrödinger operators
Fumio Hiroshima, Itaru Sasaki, Tomoyuki Shirai +1
The spectrum of discrete Schrödinger operator on the -dimensional lattice is considered, where denotes the discrete Laplacian and a delta function with mass at a s…
An inverse scattering problem for the Klein-Gordon equation with a classical source in quantum field theory
Hironobu Sasaki, Akito Suzuki
An inverse scattering problem for a quantized scalar field obeying a linear Klein-Gordon equation $(\square + m^2 + V) {\bm ϕ} = J \mbox{in $\mathbb{R} \times \mathbb{R}^…
Absence of ground state for the Nelson model on static space-times
Christian Gérard, Fumio Hiroshima, Annalisa Panati +1
We consider the Nelson model on some static space-times and investigate the problem of absence of a ground state. Nelson models with variable coefficients arise when one replaces i…
Physical state for non-relativistic quantum electrodynamics
Fumio Hiroshima, Akito Suzuki
A physical subspace and physical Hilbert space associated with asymptotic fields of nonrelativistic quantum electrodynamics are constructed through the Gupta-Bleuler procedure. Asy…