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Effective Classical Hamiltonian from Perturbatively Defined Path Integral (1107.0341v1)
Published 1 Jul 2011 in quant-ph and cond-mat.stat-mech
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.
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