Green function approximation and path integral numerical methods

Citation
A. Orlandi et al., Green function approximation and path integral numerical methods, EUR PHY J D, 10(2), 2000, pp. 157-164
Citations number
11
Categorie Soggetti
Physics
Journal title
EUROPEAN PHYSICAL JOURNAL D
ISSN journal
14346060 → ACNP
Volume
10
Issue
2
Year of publication
2000
Pages
157 - 164
Database
ISI
SICI code
1434-6060(200005)10:2<157:GFAAPI>2.0.ZU;2-Z
Abstract
We evaluate the short time Green function by a series expansion of the expo nent. The resulting expression allows the computation of the energy eigenva lues and eigenvectors of a quantum system with a very high precision. As an example, we show the comparison between the numerical results and the anal ytical solutions for harmonic and multi-well potentials both in one and two dimensions.