Foundations of Quantum Theory

Foundations of Quantum Theory

From Classical Concepts to Operator Algebras

Landsman, Klaas

Springer International Publishing AG

07/2018

861

Mole

Inglês

9783319847382

15 a 20 dias

1353

Descrição não disponível.
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.- Limits: Small hbar.- Limits: large N.- Symmetry in algebraic quantum theory.- Spontaneous Symmetry Breaking.- The Measurement Problem.- Topos theory and quantum logic.- Appendix A: Finite-dimensional Hilbert spaces.- Appendix B: Basic functional analysis.- Appendix C: Operator algebras.- Appendix D: Lattices and logic.- Appendix E: Category theory and topos theory.- References.
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Quantum measurement problem;Spontaneous symmetry breaking;Open Access;von Neumann operator algebras;C*-algebras;Quantum mechanics and topos theory;Formalized Copenhagen Interpretation;Born rule;Bohrification;matrix theory