Variational Principle of Hydrodynamics and Quantization by Stochastic Process

2014/12/19 by T. Kodama, Kodama, T., T. Koide +1
Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Nuclear Theory (nucl-th) #Quantum Physics (quant-ph) #gr-qc #hep-th #nucl-th #quant-ph

paper · pdf · doi:10.48550/arxiv.1412.6472

13 pages, no figure, references were added

arxiv created 2015/01/05 · arxiv updated 2015/01/07

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.

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