## Abstract A novel path integral Monte Carlo (PIMC) approach for correlated manyβparticle systems with arbitrary pair interaction in continuous space at low temperatures is presented. It is based on a representation of the __N__ βparticle density operator in a basis of (antiβ)symmetrized __N__ βpa
Path integral Monte Carlo using multigrid techniques
β Scribed by Wolfhard Janke; Tilman Sauer
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 642 KB
- Volume
- 201
- Category
- Article
- ISSN
- 0009-2614
No coin nor oath required. For personal study only.
β¦ Synopsis
simulations of euclidean path integrals based on local update algorithms are severely hampered by diverging autocorrelation times T in the continuum limit. If c denotes the discretization parameter we verify for simulations with the standard Metropolis algorithm the theoretically expected behaviour TIC ( I/t)'. We then demonstrate numerically that this problem can be overcome by using mathematically very well-founded multigrid techniques.
π SIMILAR VOLUMES
The ability to model equilibrium electronic properties of ultrasmall devices using a path-integral Monte Carlo (PIMC) method is demonstrated. First, a direct sampling PIMC method and its advantages over Metropolis importance sampling PIMC methods in this application are described. Then two potential
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