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Quantum Simulation Open Quantum Systems Decoherence Quantum Foundations

Hydrodynamics, particle relabelling and relativity

arXiv
Authors: Peter Holland

Year

2011

Paper ID

8760

Status

Preprint

Abstract Read

~2 min

Abstract Words

103

Citations

N/A

Abstract

Using the wave equation as an example, it is shown how to extend the hydrodynamic Lagrangian-picture method of constructing field evolution using a continuum of trajectories to second-order theories. The wave equation is represented through Eulerian-picture models that are distinguished by their Lorentz transformation properties. Introducing the idea of the relativity of the particle label, it is demonstrated how the corresponding trajectory models are compatible with the relativity principle. It is also shown how the Eulerian variational formulation may be obtained by canonical transformation from the Lagrangian picture, and how symmetries in the Lagrangian picture may be used to generate Eulerian conserved charges.

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • Using the wave equation as an example, it is shown how to extend the hydrodynamic Lagrangian-picture method of constructing field evolution using a continuum of trajectories to...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1105.3764 [2] arXiv https://arxiv.org/abs/1105.3764 [3] Publisher https://arxiv.org/abs/1105.3764

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