Path integral in energy representation in quantum mechanics
High Energy Physics - Theory
2009-09-29 v3
Abstract
In this paper we develop the alternative path-integral approach to quantum mechanics. We present a resolvent of a Hamiltonian (which is Laplace transform of a evolution operator) in a form which has a sense of ``the sum over paths'' but it is much more better defined than the usual functional integral. We investigate this representation from various directions and compare such approach to quantum mechanics with the standard ones.
Keywords
Cite
@article{arxiv.hep-th/0605169,
title = {Path integral in energy representation in quantum mechanics},
author = {P. Putrov},
journal= {arXiv preprint arXiv:hep-th/0605169},
year = {2009}
}
Comments
16 pages, 13 figures. Some sections was rewritten. Version accepted to Theor.Math.Phys