Monte carlo evaluation of real time Feynman path integrals using distributed approximating functions. Modified-Cayley versus symmetric split-operator formalism
✍ Scribed by Xin Ma; Donald J. Kouri; David K. Hoffman
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 444 KB
- Volume
- 208
- Category
- Article
- ISSN
- 0009-2614
No coin nor oath required. For personal study only.
✦ Synopsis
The results of calculations of the autocorrclation function for a Gaussian wavepacket propagating in a Morse potential are reported using a real time Monte Carlo path integration method based on distributed approximating functions. The symmetric split-operator and the modified-Cayley forms of the short-time full propagator are used in our calculations. It is found that the modified-Cayley form of the short-time propagator is better suited for real time Monte Carlo integration because the moditied-Cayley integrand is less oscillatory than the symmetric split operator, requiring fewer sampling points to converge the Monte Carlo integration to a given accuracy.