The Feynman path integral method is applied to the many-electron problem. We first give new closure relations in terms of ordinary complex and real numbers, which could be derived from an arbitrary complete set of state vectors. Then, in the path integral form, the partition function of the system a
โฆ LIBER โฆ
Finite temperature ab initio calculation by path integral Monte Carlo method
โ Scribed by H. Kawabe; K. Kodama; H. Nagao; K. Nishikawa
- Publisher
- John Wiley and Sons
- Year
- 1997
- Tongue
- English
- Weight
- 156 KB
- Volume
- 65
- Category
- Article
- ISSN
- 0020-7608
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โฆ Synopsis
We develop the path integral method for quantum chemistry, apply the Monte Carlo method to an evaluation of the path integral, and calculate the ensemble average of the energy. For finite temperature, a simple Monte Carlo evaluation of the path integral brings out the negative-sign problem. In this work, to avoid this problem in the numerical evaluation, we apply the new reweighting method to the Monte Carlo integration, and calculate effectively the ensemble average of the energy for finite temperature.
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