Abstract:A Feynman path integration approach is systematically applied to the polaron problem for the tubular geometry. The method represents a Gaussian approximation. The main quasi particle characteristics of the Fröhlich polaron, namely, the ground state energy and the effective mass are derived for two approaches. Numerical results are obtained with the all coupling limit. The results are found to imitate those of the spherical geometry modified by a logarithmic function. The polaron characteristics for the tubular… Show more
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