Nonstandard scalar quantum fields

DOI10.1063/1.530450zbMath0808.46099OpenAlexW2007666948MaRDI QIDQ4317999

Stanley P. Gudder

Publication date: 16 March 1995

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

Full work available at URL: https://doi.org/10.1063/1.530450

zbMATH Keywords

Wick's theorem\(\phi^ 4\) interactionfree Klein-Gordon fieldsfree scalar momentum fieldsnonstandard scattering operatorscalar quantum fields based on nonstandard analysissecond quantized energy-momentum operators

Mathematics Subject Classification ID

Model quantum field theories (81T10) Methods of quantum field theory in general relativity and gravitational theory (83C47) Applications of functional analysis in quantum physics (46N50) Scattering theory of linear operators (47A40) Nonstandard functional analysis (46S20)

Related Items (4)

Event structures in nonstandard quantum mechanics ⋮ Square roots and inverses in e-rings ⋮ Observables, states, and symmetries in the context of CB-effect algebras ⋮ Hyperfinite quantum random walks.

Cites Work

• Nonstandard Fock spaces
• A nonstandard representation of Feynman’s path integrals
• Applications of non-standard analysis to relativistic quantum mechanics. I
• Application of nonstandard analysis to quantum mechanics
• The nonstandard λ:φ24(x): model. I. The technique of nonstandard analysis in theoretical physics

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