Phase Volume

the volume in phase space. For a mechanical system with N degrees of freedom, the elementary phase volume is equal to dpdq = dp_ldq₁ . . . dp_Ndq_N, where q₁, . . .,q_N are the generalized coordinates and p₁, . . .,p_N are the generalized momenta of the system. The phase volume of a finite phase region G is equal to the 2N-dimensional integral ∫_Gdpdq. If the system is described by Hamilton’s equations of motion, then the system’s phase volume remains constant when the system moves (Liouville’s theorem). This makes it possible to introduce normalized distribution functions in phase space.

单词	phase volume
释义	Phase Volume Phase Volume the volume in phase space. For a mechanical system with N degrees of freedom, the elementary phase volume is equal to dpdq = dp_ldq₁ . . . dp_Ndq_N, where q₁, . . .,q_N are the generalized coordinates and p₁, . . .,p_N are the generalized momenta of the system. The phase volume of a finite phase region G is equal to the 2N-dimensional integral ∫_Gdpdq. If the system is described by Hamilton’s equations of motion, then the system’s phase volume remains constant when the system moves (Liouville’s theorem). This makes it possible to introduce normalized distribution functions in phase space.
随便看	work way up workwear work week workweek workweeks work will on work will upon work with work with computing systems work with private party workwoman work wonders work-worn work xp workyday work year work you out work you over work your arse off work your ass off work your backside off work your buns off work your butt off work your fingers to the bone work your guts out