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Open Quantum Systems Decoherence

Variational Principle of Hydrodynamics and Quantization by Stochastic Process

arXiv
Authors: T. Kodama, T. Koide

Year

2014

Paper ID

45794

Status

Preprint

Abstract Read

~2 min

Abstract Words

60

Citations

N/A

Abstract

The well-known hydrodynamical representation of the Schrödinger equation is reformulated by extending the idea of Nelson-Yasue's stochastic variational method. The fluid flow is composed by the two stochastic processes from the past and the future, which are unified naturally by the principle of maximum entropy. We show that this formulation is easily applicable to the quantization of scalar fields.

Why This Paper Matters

  • This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
  • It adds a 2014 reference point for readers tracking recent quantum research.
  • The well-known hydrodynamical representation of the Schrödinger equation is reformulated by extending the idea of Nelson-Yasue's stochastic variational method.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1412.6472 [2] arXiv https://arxiv.org/abs/1412.6472 [3] Publisher https://arxiv.org/abs/1412.6472

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