Gerald W. Johnson, Michel L. Lapidus, Lance Nielsen

Feynman's Operational Calculus and Beyond: Noncommutativity and Time-Ordering

• Gebundenes Buch

Produktbeschreibung

This book lies at the interface between mathematics and quantum theory. It provides a mathematically precise development of certain heuristic ideas originated by Richard Feynman in a profoundly influential 1951 paper.

Produktdetails

• Oxford Mathematical Monographs
• Verlag: Oxford University Press, USA
• Seitenzahl: 368
• Erscheinungstermin: 6. Oktober 2015
• Englisch
• Abmessung: 244mm x 152mm x 25mm
• Gewicht: 680g
• ISBN-13: 9780198702498
• ISBN-10: 0198702493
• Artikelnr.: 47868151

Autorenporträt

Gerald W. Johnson is Emeritus Professor of Mathematics University of Nebraska, Lincoln. Michel Lapidus is Professor of Mathematics at the University of California, Riverside Lance Nielsen is Professor of Mathematics in the Department of Mathematics, Creighton University.

Inhaltsangabe

1: Introduction
2: Disentangling: Definitions, Properties and Elementary Examples
3: Disentangling via Tensor Products and Ordered Supports
4: Extraction of Multilinear Factors and Iterative Disentangling
5: Auxiliary Operations and Disentangling Algebras
6: Time-Dependent Feynman's Operational Calculus and Evolution Equations
7: Stability Properties of Feynman's Operational Calculi
8: Disentangling via Continuous and Discrete Measures
9: Derivational Derivatives and Feynman's Operational Calculi
10: Spectral Theory for Noncommuting Operators
11: Epilogue: Miscellaneous Topics and Possible Extensions