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Microscopic State

Microscopic State:
N coordinates q1, q2, ..., qN, and N momenta p1, p2 ,..., pN. It is point in the phase space .
Phase Space:
All points in phase space


One-dimensional Harmonic Oscillator.
Energy conservation:

\frac{q^2}{2k}+\frac{p^2}{2m} = E\end{displaymath}

This is the equation of ellipse (see also problem 5 from the Quiz):

N particles in a cubic volume.

6N-dimensional phase space.

Discrete Phase Space-Ising spins
General case: N spins:
Phase trajectory: discrete hops

© 1997 Boris Veytsman and Michael Kotelyanskii
Wed Sep 3 22:59:36 EDT 1997