更改

In [[wikipedia:Hamiltonian_mechanics|Hamiltonian mechanics]], the Boltzmann equation is often written more generally as

In [[wikipedia:Hamiltonian_mechanics|Hamiltonian mechanics]], the Boltzmann equation is often written more generally as

在[[哈密顿力学]]中, 玻尔兹曼方程通常写作

在'''[[wikipedia:Hamiltonian_mechanics|哈密顿力学 Hamiltonian Mechanics]]'''中, 玻尔兹曼方程通常写作

:<math>\hat{\mathbf{L}}[f]=\mathbf{C}[f], \, </math>

:<math>\hat{\mathbf{L}}[f]=\mathbf{C}[f], \, </math>

where '''L''' is the [[wikipedia:Liouville_operator|Liouville operator]] (there is an inconsistent definition between the Liouville operator as defined here and the one in the article linked) describing the evolution of a phase space volume and '''C''' is the collision operator. The non-relativistic form of '''L''' is

where '''L''' is the [[wikipedia:Liouville_operator|Liouville operator]] (there is an inconsistent definition between the Liouville operator as defined here and the one in the article linked) describing the evolution of a phase space volume and '''C''' is the collision operator. The non-relativistic form of '''L''' is

其中 '''L''' 是[[刘维尔定理 (哈密顿力学)|刘维尔算子]](这里定义的刘维尔算子和链接文章中的定义不一致)，它描述了相空间体积的演化；'''C''' 是碰撞算子。非相对论下的'''L''' 写作

 

其中 '''L''' 是'''[[wikipedia:Liouville_operator|刘维尔算子 Liouville Operator]]'''(这里定义的刘维尔算子和链接文章中的定义不一致)，它描述了相空间体积的演化；'''C''' 是碰撞算子。非相对论下的'''L''' 写作

:<math>\hat{\mathbf{L}}_\mathrm{NR} = \frac{\partial}{\partial t} + \frac{\mathbf{p}}{m} \cdot \nabla + \mathbf{F}\cdot\frac{\partial}{\partial \mathbf{p}}\,.</math>

:<math>\hat{\mathbf{L}}_\mathrm{NR} = \frac{\partial}{\partial t} + \frac{\mathbf{p}}{m} \cdot \nabla + \mathbf{F}\cdot\frac{\partial}{\partial \mathbf{p}}\,.</math>