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Author Soldatov, A.V.
Source Directory of Open Access Journals (DOAJ)
Content type Text
Publisher Institute for Condensed Matter Physics
File Format HTM / HTML
Date Created 2011-09-27
Copyright Year ©2009
Language English
Subject Domain (in LCC) QC1-999
Subject Keyword Lower bound estimates ♦ Method of intermediate problems ♦ Science ♦ Physics ♦ Fröhlich polaron model ♦ Ground state energy ♦ Polaron
Abstract Method of intermediate problems in the theory of linear semi-bounded self-adjoint operators on rigged Hilbert space was applied to the investigation of the ground state energy of the Fröhlich polaron model. It was shown that various infinite sequences of non-decreasing improvable lower bound estimates for the polaron ground state energy can be derived for arbitrary values of the electron-phonon interaction constant. The proposed approach allows for explicit numerical evaluation of the thus obtained lower bound estimates at all orders and can be straightforwardly generalized for investigation of the low-lying branch of the slow-moving polaron excitation energy spectral curve adjacent to the ground state energy of the polaron at rest. In conjunction with numerous, already derived by multitudinous methods, well-known upper bound estimates for the energy spectral curve of the Fröhlich polaron as a function of the electron-phonon interaction constant and the polaron total momentum, the aforesaid improvable lower bound estimates might provide one with virtually precise magnitude for the energy of the slow-moving polaron.
ISSN 1607324X
Age Range 18 to 22 years ♦ above 22 year
Educational Use Research
Education Level UG and PG ♦ Career/Technical Study
Learning Resource Type Article
Publisher Date 2009-01-01
e-ISSN 1607324X
Journal Condensed Matter Physics
Volume Number 12
Issue Number 4
Page Count 11
Starting Page 665
Ending Page 675


Source: Directory of Open Access Journals (DOAJ)