Adelic Path Integrals for Quadratic Lagrangians
High Energy Physics - Theory
2014-11-18 v2 Mathematical Physics
math.MP
Quantum Physics
Abstract
Feynman's path integral in adelic quantum mechanics is considered. The propagator K(x'',t'';x',t') for one-dimensional adelic systems with quadratic Lagrangians is analytically evaluated. Obtained exact general formula has the form which is invariant under interchange of the number fields R and Q_p.
Keywords
Cite
@article{arxiv.hep-th/0105030,
title = {Adelic Path Integrals for Quadratic Lagrangians},
author = {G. S. Djordjevic and B. Dragovich and L. Nesic},
journal= {arXiv preprint arXiv:hep-th/0105030},
year = {2014}
}
Comments
17 pages, no figures, to be published in Infinite Dimensional Analysis, Quantum Probability and Related Topics