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- W2124662685 abstract "We present exact expressions for the sum of states of noninteracting classical and quantum particles occupying a finite number of modes with arbitrary spacings. Exploiting a probabilistic analogy, we derive an analytic fourth-order approximation to the density of states, which captures its variance and kurtosis, and is superior to the previous, commonly used methods for all three particle statistics. Our approach employs a simple exact method of calculating the moments of the microcanonical density of states for quantum particles, which requires less computational effort than the commonly used saddle-point approximation. We test our methods numerically and discuss their applicability to various physical systems." @default.
- W2124662685 created "2016-06-24" @default.
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- W2124662685 date "2011-10-18" @default.
- W2124662685 modified "2023-10-16" @default.
- W2124662685 title "Exact and approximate methods of calculating the sum of states for noninteracting classical and quantum particles occupying a finite number of modes" @default.
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- W2124662685 doi "https://doi.org/10.1103/physreve.84.041125" @default.
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