MONTE-CARLO CALCULATION OF QUANTUM-SYSTEMS .2. HIGHER-ORDER CORRECTION
MONTE-CARLO CALCULATION OF QUANTUM-SYSTEMS .2. HIGHER-ORDER CORRECTION
复制标题
DOI：
10.1143/jpsj.53.3765
复制
发表时间：
1984-01-01
影响因子：
1.7
通讯作者：
IMADA, M
中科院分区：
文献类型：
--
作者：
TAKAHASHI, M;IMADA, M
在Monte Carlo计算路径积分时，得到了高阶修正项。修正只通过势项的修正来表示：V（r 1，...，r N）→ V+（h 2 <$24 m）（β <$M）2∑ i= 1 N（<$V <$r i）2，其中r i是粒子的坐标，N是质量为m的粒子数，β是（kT）− 1，M是分区数。通过这种方法可以显着减少计算时间。对于谐振子的情形，得到了能量的快速收敛。
The higher order correction term is obtained for the Monte Carlo calculation of the path integral. The correction is expressed only by a modification of the potential term: V (r 1,…, r N)→ V+(h 2⁄ 24m)(β⁄ M) 2∑ i= 1 N (∂ V⁄∂ r i) 2, where r i’s are coordinates of particles, N is number of particles with mass m, β is (kT)− 1 and M is number of partitions. By this method one can reduce the computation time remarkably. A rapid convergence of energy is obtained for the case of harmonic oscillator.