Mori-Zwanzig projection formalism: from linear to nonlinear

Details Mori-Zwanzig projection formalism: from linear to nonlinear Mori-Zwanzig projection formalism: from linear to nonlinear

2009-04-17

arxiv.org/abs/0904.2691v1

Physics

Condensed Matter

Statistical Mechanics

3 pages

Scientific paper

The Mori-Zwanzig projection formalism is widely used in studying systems with many degrees of freedom. We used a system-bath Hamiltonian system to show that the Mori's and Zwanzig's projection procedures are mutual limiting cases of each other depending on the size of the projected Hilbert space. We also derived the dynamic equations of collective coordinates of a Hamiltonian system.

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