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Open Quantum Systems Decoherence

Complete Hamiltonian description of wave-like features in classical and quantum physics

arXiv
Authors: A. Orefice, R. Giovanelli, D. Ditto

Year

2007

Paper ID

49894

Status

Preprint

Abstract Read

~2 min

Abstract Words

116

Citations

N/A

Abstract

The analysis of the Helmholtz equation is shown to lead to an exact Hamiltonian system of equations describing in terms of ray trajectories a very wide family of wave-like phenomena (including diffraction and interference) going much beyond the limits of the ordinary geometrical optics approximation, which is contained as a simple limiting case. Due to the fact that the time independent Schroedinger equation is itself a Helmoltz-like equation, the same mathematical solutions holding for a classical optical beam turn out to apply to a quantum particle beam, leading to a complete system of Hamiltonian equations which provide a set of particle trajectories and motion laws containing as a limiting case the ones encountered in classical Mechanics.

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  • The analysis of the Helmholtz equation is shown to lead to an exact Hamiltonian system of equations describing in terms of ray trajectories a very wide family of wave-like...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:0706.3102 [2] arXiv https://arxiv.org/abs/0706.3102 [3] Publisher https://arxiv.org/abs/0706.3102

Local Citation Graph (Related-Paper Links)

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