A GENERALIZED MEAN FIELD APPROACH TO THE POLARON-Reference-Cited by-同舟云学术

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A GENERALIZED MEAN FIELD APPROACH TO THE POLARON

Published:2001-12 Issue:09 Volume:11 Page:1597-1607
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

NIETO J.¹

Affiliation:

1. Departamento de Matemática Aplicada, Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain

Abstract

In this paper we introduce a generalized mean field model to describe the motion of an electron in a lattice of charged ions with long range electrostatic interaction. The local and global in time existence and uniqueness of this model and its variational formulation are analyzed.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202501001495

Reference7 articles.

1. Non-exponential decay for Polaron model

2. On the time evolution of the mean-field polaron

3. L2 Solutions to the Schrödinger–Poisson System: Existence, Uniqueness, Time Behaviour, and Smoothing Effects

4. Asymptotics for the polaron

5. Global existence, uniqueness and asymptotic behaviour of solutions of the Wigner-Poisson and Schrödinger-Poisson systems

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1. Multiphase semiclassical approximation of the one-dimensional harmonic crystal: I. The periodic case;Journal of Physics A: Mathematical and General;2006-08-02

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