The mathematics of Bose-Fock spaces is built on the notion of a commutative algebra and this algebraic structure makes the theory appealing both to mathematicians with no background in physics and to theorectical and mathematical physicists who will at once recognize that the familiar set-up does not obscure the direct relevance to theoretical physics. The well-known complex and real wave representations appear here as natural consequences of the basic mathematical structure – a mathematician familiar with category theory will regard these representations as functors. Operators generated by creations and annihilations in a given Bose algebra are shown to give rise to a new Bose algebra of operators yielding the Weyl calculus of pseudo-differential operators. The book will be useful to mathematicians interested in analysis in infinitely many dimensions or in the mathematics of quantum fields and to theoretical physicists who can profit from the use of an effective and rigrous Bose formalism.
Bose Algebras The Complex and Real Wave Representations Free Download
April 21, 2022
You may also like
ALGEBRA MATHEMATICS
Algebra 3 Homological Algebra and Its Applications by Ramji Lal PDF
April 11, 2024
This book, the third book in the four-volume series in algebra, deals with important topics in homological algebra, including abstract theory of derived...
ALGEBRA MATHEMATICS
Algebra for College Students 5th Edition by Margaret L. Lial PDF
February 3, 2024
Algebra for College Students is designed to provide students with the algebra background needed for further college-level mathematics courses. The unifying...
ALGEBRA MATHEMATICS
Integral Points on Algebraic Varieties An Introduction to Diophantine Geometry by Pietro Corvaja PDF
October 18, 2023
This book is intended to be an introduction to Diophantine geometry. The central theme of the book is to investigate the distribution of integral points on...
Recent Posts
- Algebra 3 Homological Algebra and Its Applications by Ramji Lal PDF
- Heat Transfer Physics 2nd Edition By Massoud Kaviany PDF
- Lavin’s Radiography for Veterinary Technicians, 6th Edition by Marg Brown PDF
- Principles of Physics, 10th Edition by David Halliday PDF
- The Dog Behavior Problem Solver by Teoti Anderson PDF
Add Comment