Applications of non-standard analysis to relativistic quantum mechanics. I

DOI10.1088/0305-4470/14/10/010zbMath0469.46027OpenAlexW1993364482MaRDI QIDQ3923096

C. E. Francis

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1088/0305-4470/14/10/010

zbMATH Keywords

Fourier transformsnon-standard analysisdelta-functionsconsistent relativistic quantum field theory

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Axiomatic quantum field theory; operator algebras (81T05) Nonstandard analysis (26E35)

Related Items (6)

Nonstandard analysis in classical physics and quantum formal scattering ⋮ LOCALLY CONVEX SPACES OF VECTOR-VALUED DISTRIBUTIONS WITH MULTIPLICATIVE STRUCTURES ⋮ Associative and commutative distribution algebra with multipliers, and generalized solutions of nonlinear equations ⋮ Nonstandard scalar quantum fields ⋮ The expressional limits of formal language in the notion of quantum observation ⋮ Phase operator problem and macroscopic extension of quantum mechanics

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