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classical_hamiltonian_system [2015/08/16 15:28] nikolaj |
classical_hamiltonian_system [2015/08/16 15:29] nikolaj |
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| Such a volume $V$ may actually also not just be a parameter of the theory, but fixed by the space ${\mathcal M}$ - e.g. the integral over the space, if such a number exists. | Such a volume $V$ may actually also not just be a parameter of the theory, but fixed by the space ${\mathcal M}$ - e.g. the integral over the space, if such a number exists. | ||
| - | This e.g. happens in [[Classical density of states]] and is how $V$ enters | + | This e.g. happens in [[Classical density of states]] and is how $V$ enters $U=\langle{H}\rangle$ and eventually $p := -\frac{\partial U}{\partial V} = \frac{N}{V}\cdot k_B T$. |
| - | + | ||
| - | $p := -\frac{\partial }{\partial V} \langle{H}\rangle = \frac{N}{V}\cdot k_B T.$ | + | |
| === Reference === | === Reference === | ||
