Exact Generalized Langevin Equation for a Particle in a Harmonic Lattice
- 1 June 1971
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 3 (6), 2049-2052
- https://doi.org/10.1103/physreva.3.2049
Abstract
Projection-operator techniques are used to obtain a new exact equation for the momentum of a particle in a harmonic lattice. The equation, valid for all times and mass ratios, permits a simple physical interpretation in terms of a reference system with the particle held fixed. It is demonstrated that the random forces which arise through the use of two different projection operators are equal and identical to the force on the heavy particle in the reference mechanical system.Keywords
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