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created: 2022-05-31 16:03:36
modified: 2022-05-31 16:06:43
We saw in Number of states of a classical system that we can express the number of states under a certain energy limit using an integral and the Hamiltonian function of the given physical system.
We can define the state density from the number of states by taking its derivative:
With this, the number of states in a slim energy interval: