Effective Classical Hamiltonian from Perturbatively Defined Path Integral
Quantum Physics
2011-07-05 v1 Statistical Mechanics
Abstract
Introducing a perturbative definition, phase space path integrals can be calculated without slicing. This leads to a short-time expansion of the quantum-mechanical path amplitude, or a high-temperature expansion of the unnormalized density matrix, respectively. We use the proposed formalism to calculate the effective classical Hamiltonian for the harmonic oscillator.
Keywords
Cite
@article{arxiv.1107.0341,
title = {Effective Classical Hamiltonian from Perturbatively Defined Path Integral},
author = {Michael Bachmann},
journal= {arXiv preprint arXiv:1107.0341},
year = {2011}
}
Comments
10 pages, Contribution to the Festschrift "Fluctuating Paths and Fields" on the occasion of Hagen Kleinert's 60th birthday, 2001