Variational study of polaron dynamics with the Davydov Ansätze

We derive explicit expressions for the amplitudes of the deviation vectors for the time-dependent Davydov D1, D2 and D ̃ Ansätze from the exact solution of the Schro ̈dinger equation for the Holstein polaron. By comparing the deviation amplitudes with the system energ...

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Bibliographic Details
Main Authors: Luo, Bin, Ye, Jun, Zhao, Yang
Other Authors: School of Materials Science & Engineering
Format: Article
Language:English
Published: 2011
Subjects:
Online Access:https://hdl.handle.net/10356/91937
http://hdl.handle.net/10220/6917
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Institution: Nanyang Technological University
Language: English
Description
Summary:We derive explicit expressions for the amplitudes of the deviation vectors for the time-dependent Davydov D1, D2 and D ̃ Ansätze from the exact solution of the Schro ̈dinger equation for the Holstein polaron. By comparing the deviation amplitudes with the system energies, a systematic study is carried out on the validity of the Davydov Ansätze.