Foundations of Quantum Theory: From Classical Concepts to Operator Algebras

by Klaas Landsman

Introduction.- Part I Co(X) and B(H): Classical physics on a finite phase space.- Quantum mechanics on a finite-dimensional Hilbert space.- Classical physics on a general phase space.- Quantum physics on a general Hilbert space.- Symmetry in quantum mechanics.- Part II Between Co(X) and B(H): Classical models of quantum mechanics.- Small hbar.- large N .- Symmetry in algebraic quantum theory.- Spontaneous Symmetry Breaking.- The Measurement Problem.- Topos theory and quantum logic.- Appendix Finite-dimensional Hilbert spaces.- Appendix Basic functional analysis.- Appendix Operator algebras.- Appendix Lattices and logic.- Appendix Category theory and topos theory.- References.

Genres: Science, Physics, Mathematics, Reference, Nonfiction, Quantum Mechanics

900 pages, Paperback

Published May 17, 2017