A mathematical interpretation of Dirac's formalism. Part C: Free field operators

DOI10.1016/0034-4877(86)90026-1zbMath0635.46034OpenAlexW1664897378MaRDI QIDQ1097476

J. de Graaf, S. J. L. van Eijndhoven

Publication date: 1986

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(86)90026-1

zbMATH Keywords

bracketcanonical (anti-)communication relationsDirac basisDirac's formalismdistribution theoriesquantized free field

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Operations with distributions and generalized functions (46F10) Miscellaneous applications of functional analysis (46N99) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Cites Work

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• Trajectory spaces, generalized functions and unbounded operators
• A mathematical interpretation of Dirac's formalism; Part A: Dirac bases in trajectory spaces
• A mathematical interpretation of Dirac's formalism; Part B: Generalized eigenfunctions in trajectory spaces
• Tempered distributions in infinitely many dimensions. I: Canonical field operators. II: Displacement operators
• The Mathematics of Second Quantization

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