A Rigorous Path Integral Construction in any Dimension
Functional Analysis
2007-05-23 v1 Condensed Matter
High Energy Physics - Phenomenology
High Energy Physics - Theory
Mathematical Physics
Analysis of PDEs
math.MP
Quantum Physics
Abstract
We propose a new rigorous time-slicing construction of the phase space Path Integrals for propagators both in Quantum Mechanics and Quantum Field Theory for a fairly general class of quantum observables (e.g. the Schroedinger hamiltonians with smooth scalar potentials of any power growth). Moreover we allow time-dependent hamiltonians and a great variety of discretizations, in particular, the standard, Weyl, and normal ones.
Cite
@article{arxiv.math/9802058,
title = {A Rigorous Path Integral Construction in any Dimension},
author = {Alexander Dynin},
journal= {arXiv preprint arXiv:math/9802058},
year = {2007}
}
Comments
17 pages