Feynman, R. P. (1955) Slow electrons in a polar crystal. Physical Review, 97 (3). pp. 660-665. ISSN 0031-899X http://resolver.caltech.edu/CaltechAUTHORS:FEYpr55
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A variational principle is developed for the lowest energy of a system described by a path integral. It is applied to the problem of the interaction of an electron with a polarizable lattice, as idealized by Fröhlich. The motion of the electron, after the phonons of the lattice field are eliminated, is described as a path integral. The variational method applied to this gives an energy for all values of the coupling constant. It is at least as accurate as previously known results. The effective mass of the electron is also calculated, but the accuracy here is difficult to judge.
|Additional Information:||©1955 The American Physical Society. Received 19 October 1954. I am indebted to H. Fröhlich for bringing the problem to my attention, and for his comments on it, and to G. Speisman for emphasizing the importance of the general inequality.|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Tony Diaz|
|Deposited On:||13 Jun 2006|
|Last Modified:||26 Dec 2012 08:54|
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