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https://hdl.handle.net/2440/11207
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Type: | Journal article |
Title: | On the best quadratic approximation in Feynman's path integral treatment of the polaron |
Author: | Rosenfelder, R. Schreiber, A. |
Citation: | Physics Letters A: General Physics, Nonlinear Science, Statistical Physics, Atomic, Molecular and Cluster Physics, Plasma and Fluid Physics, Condensed Matter, Cross-disciplinary Physics, Biological Physics, Nanosciences, Quantum Physics, 2001; 284(02-Mar):63-71 |
Publisher: | Elsevier Science BV |
Issue Date: | 2001 |
ISSN: | 0375-9601 |
Abstract: | Saitoh is investigated numerically for a wide range of coupling constants. The non-linear variational equations are solved iteratively with an efficient method in order to obtain the ground-state energy and the effective mass of the polaron. The virial theorem and expansions for small and large couplings are used to check the high accuracy of the numerical results. Only small improvements over Feynman's (non-optimal) results are observed. For a moving polaron it is shown that the most general quadratic trial action may contain anisotropic terms which, however, do not lead to improvements for the ground-state energy and effective mass. |
Keywords: | Polarons path integral methods best quadratic trial action |
DOI: | 10.1016/S0375-9601(01)00287-0 |
Description (link): | http://www.elsevier.com/wps/find/journaldescription.cws_home/505705/description#description |
Published version: | http://dx.doi.org/10.1016/s0375-9601(01)00287-0 |
Appears in Collections: | Aurora harvest 2 Special Research Centre for the Subatomic Structure of Matter publications |
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