# Liouville's Theorem (Hamiltonian Mechanics)

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## Contents

## Theorem

Volume integrals are time invariant in phase space.

## Proof

## Source of Name

This entry was named for Joseph Liouville.

## Sources

- 1992: George F. Simmons:
*Calculus Gems*... (previous) ... (next): Chapter $\text {A}.29$: Liouville ($1809$ – $1882$)