On the Global Minimum of the Energy-Momentum Relation for the Polaron

被引：2
|
作者：
Lampart, Jonas [1 ,2 ,3 ,4 ]
Mitrouskas, David [5 ]
Mysliwy, Krzysztof [5 ,6 ]
机构：
[1] CNRS, 9 Av Alain Savary, F-21078 Dijon, France
[2] LICB, 9 Av Alain Savary, F-21078 Dijon, France
[3] CNRS, UMR 6303, 9 Av Alain Savary, F-21078 Dijon, France
[4] UBFC, 9 Av Alain Savary, F-21078 Dijon, France
[5] Inst Sci & Technol Austria ISTA, Am Campus 1, A-3400 Klosterneuburg, Austria
[6] Univ Warsaw, Fac Phys, ul Pasteura 5, PL-02093 Warsaw, Poland
来源：
MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY | 2023年 / 26卷 / 03期
基金：
欧盟地平线“2020”;
关键词：
Polaron; Energy-Momentum relation; Localization transition; Perron-Frobenius; GROUND-STATE ENERGY; EFFECTIVE-MASS; EXISTENCE; TRANSITIONS; UNIQUENESS; ELECTRON;
D O I：
10.1007/s11040-023-09460-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
For the Frohlich model of the large polaron, we prove that the ground state energy as a function of the total momentum has a unique global minimum at momentum zero. This implies the non-existence of a ground state of the translation invariant Frohlich Hamiltonian and thus excludes the possibility of a localization transition at finite coupling.
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页数：15
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