The weak coupling limit of the Pauli-Fierz model
Fumio Hiroshima
TL;DR
This paper rigorously analyzes the weak coupling limit of the Pauli-Fierz Hamiltonian and studies how the effective mass behaves asymptotically in this regime.
Contribution
It provides a rigorous mathematical framework for the weak coupling limit and characterizes the asymptotic behavior of the effective mass.
Findings
Established the weak coupling limit of the Pauli-Fierz Hamiltonian.
Derived the asymptotic behavior of the effective mass.
Provided a rigorous mathematical foundation for these results.
Abstract
We investigate the weak coupling limit of the Pauli- Fierz Hamiltonian within a mathematically rigorous framework. Furthermore, we establish the asymptotic behavior of the effective mass in this regime.
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Random Matrices and Applications · Stochastic processes and statistical mechanics