论文标题

经典相空间中的量子统计力学。 V.量子本地,平均全球

Quantum Statistical Mechanics in Classical Phase Space. V. Quantum Local, Average Global

论文作者

Attard, Phil

论文摘要

单粒子能量特征函数用于在许多粒子系统中获得量子平均值。 These are based on the effective local field due to fixed neighbors in classical phase space, while the averages account for the non-commutativity of the position and momentum operators. Used in Monte Carlo simulations for a one-dimensional Lennard-Jones fluid, the results prove more reliable than a high temperature expansion and a harmonic local field approach, and at intermediate temperatures agree with benchmark numerical results.提出了可区分颗粒,费米和玻色子的结果。

One-particle energy eigenfunctions are used to obtain quantum averages in many particle systems. These are based on the effective local field due to fixed neighbors in classical phase space, while the averages account for the non-commutativity of the position and momentum operators. Used in Monte Carlo simulations for a one-dimensional Lennard-Jones fluid, the results prove more reliable than a high temperature expansion and a harmonic local field approach, and at intermediate temperatures agree with benchmark numerical results. Results are presented for distinguishable particles, fermions, and bosons.

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