Feynman PathIntegral Calculation of the Polaron Effective Mass
Abstract
In the expansion of the groundstate energy of a polaron in a weak magnetic field, the zerothorder term is the polaron selfenergy, while the firstorder term is inversely proportional to the polaron effective mass. The effective mass so obtained is exactly equivalent to the freepolaron effective mass as defined by Fröhlich. This equivalence principle is used to approximate the polaron effective mass by employing an approximate expression for the groundstate energy of a polaron in a weak magnetic field obtained by applying Feynman's pathintegral variational method. The resultant polaron effective mass is found to be higher than Feynman's result by less than 1%.
 Publication:

Physical Review B
 Pub Date:
 November 1970
 DOI:
 10.1103/PhysRevB.2.4283
 Bibcode:
 1970PhRvB...2.4283M