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Showing 2010 · math-phShow all
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math-ph2010★ 1 cited
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…
math-ph2010★ 11 cited
On the ionization energy of the semi-relativistic Pauli-Fierz model for a single particle
Fumio Hiroshima, Itaru Sasaki
A semi-relativistic Pauli-Fierz model is defined by the sum of the free Hamiltonian of a Boson Fock space, an nuclear potential and a relativistic kinetic energy: $…