Effective Classical Hamiltonian from Perturbatively Defined Path Integral

Details Effective Classical Hamiltonian from Perturbatively Defined Path Integral Effective Classical Hamiltonian from Perturbatively Defined Path Integral

2011-07-01

arxiv.org/abs/1107.0341v1

in: Fluctuating Paths and Fields, Eds. W. Janke, A. Pelster, H.-J. Schmidt, and M. Bachmann (World Scientific, Singapore, 2001

Physics

Quantum Physics

10 pages, Contribution to the Festschrift "Fluctuating Paths and Fields" on the occasion of Hagen Kleinert's 60th birthday, 20

Scientific paper

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.

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