Test System
We want to obtain the DOS for the harmonic oscillator potential.
The analytical DOS is given by,
by performing the last integral we obtain,
in general, the DOS for a multidimensional harmonic oscillator will be given by some power of E, the exponent will be a function of the dimension of the system.
Hence, we can use a simple harmonic oscillator potential to test the accuracy of Wang–Landau algorithm because we know already the analytic form of the density of states.
Read more about this topic: Wang And Landau Algorithm
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