On the effective quasi-bosonic Hamiltonian of the electron gas: collective excitations and plasmon modes

Christiansen, Martin Ravn; Hainzl, Christian and Nam, Phan Thanh (2022): On the effective quasi-bosonic Hamiltonian of the electron gas: collective excitations and plasmon modes. In: Letters in Mathematical Physics, Vol. 112, No. 6

Abstract

We consider an effective quasi-bosonic Hamiltonian of the electron gas which emerges naturally from the random phase approximation and describes the collective excitations of the gas. By a rigorous argument, we explain how the plasmon modes can be interpreted as a special class of approximate eigenstates of this model.

• Item Type: Journal article
• Faculties: Mathematics, Computer Science and Statistics > Mathematics > Analysis, Mathematical Physics and Numerics
• Subjects: 500 Science > 510 Mathematics
• ISSN: 0377-9017
• Language: English
• DFG: Gefördert durch die Deutsche Forschungsgemeinschaft (DFG) - 491502892