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

被引：5

作者：

Christiansen, Martin Ravn ^{[1
]}

Hainzl, Christian ^{[1
]}

Nam, Phan Thanh ^{[1
]}

机构：

[1] Ludwig Maximilian Univ Munich, Dept Math, Munich, Germany

来源：

LETTERS IN MATHEMATICAL PHYSICS | 2022年 / 112卷 / 06期

关键词：

Electron gas; Collective excitations; Plasmon modes; CHARACTERISTIC ENERGY-LOSS; DISPERSION-RELATION;

D O I：

10.1007/s11005-022-01607-1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页数：36

共 23 条

[1] ERROR BOUND FOR THE HARTREE-FOCK ENERGY OF ATOMS AND MOLECULES [J].

BACH, V .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1992, 147 (03) :527-548

[2]

Benedikter N, 2022, Arxiv, DOI arXiv:2106.13185

[3] Bosonization of Fermionic Many-Body Dynamics [J].

Benedikter, Niels ;

Nam, Phan Thanh ;

Porta, Marcello ;

Schlein, Benjamin ;

Seiringer, Robert .

ANNALES HENRI POINCARE, 2022, 23 (05) :1725-1764

[4] Correlation energy of a weakly interacting Fermi gas [J].

Benedikter, Niels ;

Nam, Phan Thanh ;

Porta, Marcello ;

Schlein, Benjamin ;

Seiringer, Robert .

INVENTIONES MATHEMATICAE, 2021, 225 (03) :885-979

[5] Bosonic collective excitations in Fermi gases [J].

Benedikter, Niels .

REVIEWS IN MATHEMATICAL PHYSICS, 2021, 33 (01)

[6] Optimal Upper Bound for the Correlation Energy of a Fermi Gas in the Mean-Field Regime [J].

Benedikter, Niels ;

Phan Thimh Nam ;

Porta, Marcello ;

Schlein, Benjamin ;

Seiringer, Robert .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2020, 374 (03) :2097-2150

[7]

Bogoliubov N. N., 1947, J PHYS USSR, V11, P23

[8] A COLLECTIVE DESCRIPTION OF ELECTRON INTERACTIONS .1. MAGNETIC INTERACTIONS [J].

BOHM, D ;

PINES, D .

PHYSICAL REVIEW, 1951, 82 (05) :625-634

[9] A COLLECTIVE DESCRIPTION OF ELECTRON INTERACTIONS .3. COULOMB INTERACTIONS IN A DEGENERATE ELECTRON GAS [J].

BOHM, D ;

PINES, D .

PHYSICAL REVIEW, 1953, 92 (03) :609-625

[10]

Christiansen MR, 2022, Arxiv, DOI arXiv:2208.01581

← 1 2 3 →