Recursive Schrodinger Equation Approach to Faster Converging Path Integrals

Balaz, Antun and Bogojevic, Aleksandar and Vidanovic, Ivana and Pelster, Axel (2009) Recursive Schrodinger Equation Approach to Faster Converging Path Integrals. Physical Review E, 79 (3). p. 6701. ISSN 1539-3755 (FP7- 222667)

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Abstract

By recursively solving the underlying Schr¨odinger 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 which 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 a new analytical approximation scheme for energy spectra, density of states, and other statistical properties of quantum systems.

Keywords

Effective action; Many-body system; Path integral

Item Type:	Article
FP7 Grant Agreement Number:	222667
FrameWork Programmes:	SP4-Capacities
Scientific Areas:	Research Infrastructures
Contact Email Address:	antun.balaz@ipb.ac.rs
Last Modified:	07 Aug 2012 11:27
Access rights:	Open access
URI:	http://eprints.kobson.nb.rs/id/eprint/27

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