arXiv:1407.2134 Abstract | arXiv Analytics

arXiv:1407.2134 [math.LO]Abstract References Reviews Resources

On Model Theory, Zilber and Physics

Published 2014-06-19, updated 2016-06-30Version 2

We study B. Zilber's method of calculating the Feynman propagator for the free particle and harmonic oscillator. Our interpretation of the method is to build a model (essentially by taking a metric ultraproduct) where we actually have eigenvectors for both the position and momentum operators.

Comments: This version adds calculating the propagator for the oscillator (compared to version 1). A newer still version (with an embedding of the standard model) is available upon request from the authors

Categories: math.LO, math-ph, math.MP, quant-ph

Keywords: model theory, zilbers method, feynman propagator, free particle

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