Pointwise analysis of scalar fields: A nonstandard approach

DOI10.1063/1.2339017zbMath1112.81075OpenAlexW2002275119WikidataQ56068909 ScholiaQ56068909MaRDI QIDQ3442026

Hideyasu Yamashita

Publication date: 16 May 2007

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.2339017

Mathematics Subject Classification ID

Model quantum field theories (81T10) Path integrals in quantum mechanics (81S40) Nonstandard models (03Hxx)

Related Items (2)

Comment on “Pointwise analysis of scalar fields: A nonstandard approach” [J. Math. Phys. 47, 092301 (2006)] ⋮ Coarse-grained spin density-functional theory: Infinite-volume limit via the hyperfinite

Cites Work

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• Phase operator problem and macroscopic extension of quantum mechanics
• Nonstandard methods in quantum field theory. I: A hyperfinite formalism of scalar fields
• A nonstandard representation of Feynman’s path integrals
• Hyperfinite-dimensional representations of canonical commutation relation
• Path space measures for Dirac and Schrödinger equations: Nonstandard analytical approach
• The nonstandard λ:φ24(x): model. I. The technique of nonstandard analysis in theoretical physics
• Non-standard analysis

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