Name
Abstract | ||
|---|---|---|
We apply the Quasi Monte Carlo (QMC) and recursive numerical integration methods to evaluate the Euclidean, discretized time path-integral for the quantum mechanical anharmonic oscillator and a topological quantum mechanical rotor model. For the anharmonic oscillator both methods outperform standard Markov Chain Monte Carlo methods and show a significantly improved error scaling. For the quantum mechanical rotor we could, however, not find a successful way employing QMC. On the other hand, the recursive numerical integration method works extremely well for this model and shows an at least exponentially fast error scaling. |
Year | DOI | Venue |
|---|---|---|
2016 | 10.1016/j.cpc.2015.09.004 | Computer Physics Communications |
Keywords | Field | DocType |
Recursive numerical integration,Quasi Monte Carlo,Quantum mechanical rotor,Anharmonic oscillator,Lattice systems,Low order couplings | Statistical physics,Discretization,Quantum,Markov chain Monte Carlo,Anharmonicity,Mathematical analysis,Numerical integration,Quasi-Monte Carlo method,Classical mechanics,Scaling,Quantum Monte Carlo,Mathematics | Journal |
Volume | ISSN | Citations |
198 | 0010-4655 | 0 |
PageRank | References | Authors |
0.34 | 3 | 6 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| A. Ammon | 1 | 2 | 0.82 |
| Alan Genz | 2 | 185 | 27.16 |
| Tobias Hartung | 3 | 0 | 0.34 |
| Karl Jansen | 4 | 33 | 7.43 |
| H. Leovey | 5 | 11 | 3.16 |
| Julia Volmer | 6 | 0 | 0.34 |