2 papers
math-ph2026
Bounds on the Bogoliubov--Hartree--Fock Energy of the Pauli--Fierz Hamiltonian
Volker Bach, Matthias Herdzik
A variational analysis of the Bogoliubov--Hartree--Fock (BHF) energy of the translation-invariant, spinless Pauli--Fierz Hamiltonian with massless dispersion relation built up on w…
math-ph2025
Minimization of an Energy Functional for an Electron in the quantized Radiation Field over quasifree States
Matthias Herdzik
Building upon the works of Bach, Breteaux, and Tzaneteas (2013) and of Bach and Hach (2022), the Bogolubov-Hartree-Fock (BHF) energy of the Pauli-Fierz Hamiltonian is investigated.…