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Comparison of variational and CSE methods to polaron ground-state energy

2004/12/19 by Qing Chen, Chen, Qing, Ke-Lin Wang +3
Physics and Astronomy · #FOS: Physical sciences #Other Condensed Matter (cond-mat.other) #cond-mat.other

paper · pdf · doi:10.48550/arxiv.cond-mat/0412515

6 pages, no figure

arxiv created 2004/12/19 · arxiv updated 2009/12/01

Abstract

Taking the same trial wave function, the ground-state energy of Fröhlich polaron is investigated by variational method and coherent-state expansion (CSE) one, respectively. Within the accuracy to α2(the electron-phonon coupling constant), both methods can give the same analytic expressions of polaron ground-state energy as the function of electron-phonon coupling constant. We find that the CSE method can much simplify the calculation and shows more advantages in higher order approximations.

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