On quantum-mechanical equations of motion in representation dependent of external sources
High Energy Physics - Theory
2017-11-23 v6
Abstract
In the present paper, we consider in detail the aspects of the Heisenberg's equations of motion, related to their transformation to the representation dependent of external sources. We provide with a closed solution as to the variation-derivative motion equations in the general case of a normal form (symbol) chosen. We show that the action in the path integral does depend actually on a particular choice of a normal symbol. We have determined both the aspects of the latter dependence: the specific boundary conditions for virtual trajectories, and the specific boundary terms in the action.
Keywords
Cite
@article{arxiv.1703.00581,
title = {On quantum-mechanical equations of motion in representation dependent of external sources},
author = {Igor A. Batalin and Peter M. Lavrov},
journal= {arXiv preprint arXiv:1703.00581},
year = {2017}
}
Comments
17 pages, v2: formula (3.20) added, v3: a reference added, v4: Section 4 extended, v5: new formulas added to Section 4, published version