Add to ORKGWe consider the large polaron described by the Fr\"ohlich Hamiltonian and study its energy-momentum relation defined as the lowest possible energy as a function of the total momentum. Using a suitable family of trial states, we derive an optimal parabolic upper bound for the energy-momentum relation in the limit of strong coupling. The upper bound consists of a momentum independent term that agrees with the predicted two-term expansion for the ground state energy of the strongly coupled polaron at rest, and a term that is quadratic in the momentum with coefficient given by the inverse of twice the classical effective mass introduced by Landau and Pekar.Comment: 61 pages, 1 figur
We provide a definition of the effective mass for the classical polaron described by the Landau-Peka...
Saitoh is investigated numerically for a wide range of coupling constants. The non-linear variationa...
For systems of N charged fermions (e.g. electrons) interacting with longi-tudinal optical quantized ...
We study the qualitative behaviour of the energy-momentum relation of the Fr\"ohlich polaron at fixe...
We study the spectrum of the Fr\"ohlich Hamiltonian for the polaron at fixed total momentum. We prov...
For the Fr\"ohlich model of the large polaron, we prove that the ground state energy as a function o...
We study a class of polaron-type Hamiltonians with sufficiently regular form factor in the interacti...
In this work we present a highly efficient and accurate analytical approximation for the Green's fun...
We study the Fröhlich polaron model in R3, and establish the subleading term in the strong coupling ...
We review old and new results on the Fröhlich polaron model. The discussion includes the validity of...
14 pagesFor the Fröhlich model of the large polaron, we prove that the ground state energy as a func...
We consider the Fröhlich polaron model in the strong coupling limit. It is well‐known that to leadin...
We consider the Fröhlich polaron model in the strong coupling limit. It is well‐known that to leadin...
The present work is a reply to the paper [1]. It is proven that the argumentation of Refs. [1] is in...
Method of intermediate problems in the theory of linear semi-bounded self-adjoint operators on rigge...
We provide a definition of the effective mass for the classical polaron described by the Landau-Peka...
Saitoh is investigated numerically for a wide range of coupling constants. The non-linear variationa...
For systems of N charged fermions (e.g. electrons) interacting with longi-tudinal optical quantized ...
We study the qualitative behaviour of the energy-momentum relation of the Fr\"ohlich polaron at fixe...
We study the spectrum of the Fr\"ohlich Hamiltonian for the polaron at fixed total momentum. We prov...
For the Fr\"ohlich model of the large polaron, we prove that the ground state energy as a function o...
We study a class of polaron-type Hamiltonians with sufficiently regular form factor in the interacti...
In this work we present a highly efficient and accurate analytical approximation for the Green's fun...
We study the Fröhlich polaron model in R3, and establish the subleading term in the strong coupling ...
We review old and new results on the Fröhlich polaron model. The discussion includes the validity of...
14 pagesFor the Fröhlich model of the large polaron, we prove that the ground state energy as a func...
We consider the Fröhlich polaron model in the strong coupling limit. It is well‐known that to leadin...
We consider the Fröhlich polaron model in the strong coupling limit. It is well‐known that to leadin...
The present work is a reply to the paper [1]. It is proven that the argumentation of Refs. [1] is in...
Method of intermediate problems in the theory of linear semi-bounded self-adjoint operators on rigge...
We provide a definition of the effective mass for the classical polaron described by the Landau-Peka...
Saitoh is investigated numerically for a wide range of coupling constants. The non-linear variationa...
For systems of N charged fermions (e.g. electrons) interacting with longi-tudinal optical quantized ...