A new method is described for the Monte Carlo evaluation of integrals of the form J?Qlx exp [ is(x)] that occur in the Feynman path integral representation of the time evolution operator, exp( -iHt/A). The method is general, strictly Monte Carlo based (and thus applicable to high dimensionality), an
Monte Carlo path integration for the real time propagator
โ Scribed by Makri, Nancy; Miller, William H.
- Book ID
- 118274771
- Publisher
- American Institute of Physics
- Year
- 1988
- Tongue
- English
- Weight
- 818 KB
- Volume
- 89
- Category
- Article
- ISSN
- 0021-9606
- DOI
- 10.1063/1.455061
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Semiclassical Monte Carlo path integration including real and imaginary trajectories has been attempted for a time-domain treatment of barrier tunneling. In the present scheme, each classical path is bifurcated into real and imaginary trajectories at a given point under the connecting conditions tha
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