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)+P 2/2M 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.
Original language | English (US) |
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Pages (from-to) | 51-57 |
Number of pages | 7 |
Journal | Journal of Statistical Physics |
Volume | 154 |
Issue number | 1-2 |
DOIs | |
State | Published - Jan 2014 |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics
Keywords
- Dressed particle
- Effective mass
- Polaron
- Quantum field theory