期刊
PHYSICAL REVIEW E
卷 79, 期 3, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.79.036701
关键词
convergence; Monte Carlo methods; quantum statistical mechanics; Schrodinger equation
资金
- Ministry of Science of the Republic of Serbia [OI141035]
- European Commission under EU Centre of Excellence [CX-CMCS]
- FP7 projects EGEE-III
- SEE-GRID-SCI
By recursively solving the underlying Schrodinger equation, we set up an efficient systematic approach for deriving analytic expressions for discretized effective actions. With this, we obtain discrete short-time propagators for both one and many particles in arbitrary dimension to orders that have not been accessible before. They can be used to substantially speed up numerical Monte Carlo calculations of path integrals, as well as for setting up an alternative analytical approximation scheme for energy spectra, density of states, and other statistical properties of quantum systems.
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