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针对BCS理论研究纳米量级金属粒子超导态下行为时遇到的困难,运用静态路径近似方法,着重处理有限温度下哈特利平均场近似的统计热涨落,得出了金属纳米粒子超导态下的统计力学配分函数形式.Abstract：Due to the difficulty in applying BCS theory to small superconducting Nano-particles grains,we apply SPA(Static Path Approximation) to overcome the difficul