Equivalence of two definitions of the effective mass of a polaron

É. Lieb, R. Seiringer, Journal of Statistical Physics 154 (2014) 51–57.


Journal Article | Published | English
Author
Abstract
Two definitions of the effective mass of a particle interacting with a quantum field, such as a polaron, are considered and shown to be equal in models similar to the Fröhlich polaron model. These are: 1. the mass defined by the low momentum energy E(P)≈E(0)+P2/2 M of the translation invariant system constrained to have momentum P and 2. the mass M of a simple particle in an arbitrary slowly varying external potential, V, described by the nonrelativistic Schrödinger equation, whose ground state energy equals that of the combined particle/field system in a bound state in the same V.
Publishing Year
Date Published
2014-01-01
Journal Title
Journal of Statistical Physics
Volume
154
Issue
1-2
Page
51 - 57
IST-REx-ID

Cite this

Lieb É, Seiringer R. Equivalence of two definitions of the effective mass of a polaron. Journal of Statistical Physics. 2014;154(1-2):51-57. doi:10.1007/s10955-013-0791-z
Lieb, É., & Seiringer, R. (2014). Equivalence of two definitions of the effective mass of a polaron. Journal of Statistical Physics, 154(1–2), 51–57. https://doi.org/10.1007/s10955-013-0791-z
Lieb, Élliott, and Robert Seiringer. “Equivalence of Two Definitions of the Effective Mass of a Polaron.” Journal of Statistical Physics 154, no. 1–2 (2014): 51–57. https://doi.org/10.1007/s10955-013-0791-z.
É. Lieb and R. Seiringer, “Equivalence of two definitions of the effective mass of a polaron,” Journal of Statistical Physics, vol. 154, no. 1–2, pp. 51–57, 2014.
Lieb É, Seiringer R. 2014. Equivalence of two definitions of the effective mass of a polaron. Journal of Statistical Physics. 154(1–2), 51–57.
Lieb, Élliott, and Robert Seiringer. “Equivalence of Two Definitions of the Effective Mass of a Polaron.” Journal of Statistical Physics, vol. 154, no. 1–2, Springer, 2014, pp. 51–57, doi:10.1007/s10955-013-0791-z.

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