Liouvillian
In
mathematics
, the
Liouvillian
is another expression for the
Liouville
differential operator
given by the mathematical expression:
{\hat{L}}=\sum_{i=1}^{N}\left
H}{\partial p_{i}} \frac{\partial }{\partial q_{i}}-\frac{\partial H}{\partial q_{i}}\frac{\partial }{\partial p_{i}}\right
.
See also
In
Statistical Mechanics
, see
Liouville equation
.
In
Hamiltonian mechanics
, see
Liouville's theorem (Hamiltonian)
.
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