5,061 research outputs found
Hidden Nambu mechanics - A variant formulation of Hamiltonian systems -
We propose a variant formulation of Hamiltonian systems by the use of
variables including redundant degrees of freedom. We show that Hamiltonian
systems can be described by extended dynamics whose master equation is the
Nambu equation or its generalization. Partition functions associated with the
extended dynamics in many degrees of freedom systems are given. Our formulation
can also be applied to Hamiltonian systems with first class constraints.Comment: 20 pages, some typos correction
Effective potential analytic continuation calculations of real time quantum correlation functions: Asymmetric systems
We apply the effective potential analytic continuation (EPAC) method to
one-dimensional asymmetric potential systems to obtain the real time quantum
correlation functions at various temperatures. Comparing the EPAC results with
the exact results, we find that for an asymmetric anharmonic oscillator the
EPAC results are in very good agreement with the exact ones at low temperature,
while this agreement becomes worse as the temperature increases. We also show
that the EPAC calculation for a certain type of asymmetric potentials can be
reduced to that for the corresponding symmetric potentials.Comment: RevTeX4, 13 pages, 9 eps figure
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