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arXiv:quant-ph/9909086

Topics in Modern Quantum Optics

Bo-Sture Skagerstam

Published Sep 28, 1999• 5 citations
arXivHTMLPDF

Abstract

This is the written version of lectures presented at "The 17th Symposium on Theoretical Physics - Applied Field Theory", 29 June - 1 July, 1998, the Sangsan Mathematical Science Building, Seoul National University, Seoul, Korea.
DOI
10.48550/arxiv.quant-ph/9909086

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Quantum theory is one of the most important intellectual developments in the early twentieth century.The confluence of mathematics and quantum physics emerged arguably from von Neumann's seminal work on the spectral theory of linear operators.This volume arose from a twomonth workshop held at the Institute for Mathematical Sciences at the National University of Singapore in July-September 2008 on mathematical physics, focusing specifically on operator algebras in quantum theory.This volume is essentially written for graduate students and young researchers so that they can acquire a gentle introduction to the application of operator algebras to quantum information sciences, chaotic and many-body problems.Several lecture notes delivered during the workshop by experts in the field were specially commissioned for this volume.
These proceedings contain lectures given at the N.A.T.O. Advanced Study Institute entitled Scattering Theory in Mathematics and Physics held in Denver, Colorado, June 11-29, 1973. We have assembled the main series of lectures and some presented by other participants that seemed naturally to complement them. Unfortunately the size of this volume does not allow for a full account of all the contributions made at the Conference; however, all present were pleased by the number and breadth of those topics covered in the informal afternoon sessions. The purpose of the meeting, as reflected in its title, was to examine the single topic of scattering theory in as many of its manifestations as possible, i.e. as a hub of concepts and techniques from both mathematics and physics. The format of all the topics presented here is mathematical. The physical content embraces classical and quantum mechanical scattering, N-body systems and quantum field theoretical models. Left out are such subjects as the so-called analytic S-matrix theory and phenomeno logical models for high energy scattering. We would like to thank the main lecturers for their excellent presentations and written summaries. They provided a focus for the exceptionally strong interaction among the participants and we hope that some of the coherence achieved is reflected in these published notes. We have made no attempt to unify notation.