Fundamental Mathematical Structures Of Quantum Theory: Spectral Theory, Fou...

Description: Please refer to the section BELOW (and NOT ABOVE) this line for the product details - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - Title:Fundamental Mathematical Structures Of Quantum Theory: Spectral Theory, Foundational Issues, Symmetries, Algebraic FormulationISBN13:9783030183486ISBN10:3030183483Author:Moretti, Valter (Author)Description:This Textbook Presents In A Concise And Self-Contained Way The Advanced Fundamental Mathematical Structures In Quantum Theory It Is Based On Lectures Prepared For A 6 Months Course For Msc Students The Reader Is Introduced To The Beautiful Interconnection Between Logic, Lattice Theory, General Probability Theory, And General Spectral Theory Including The Basic Theory Of Von Neumann Algebras And Of The Algebraic Formulation, Naturally Arising In The Study Of The Mathematical Machinery Of Quantum Theories Some General Results Concerning Hidden-Variable Interpretations Of Qm Such As Gleason's And The Kochen-Specker Theorems And The Related Notions Of Realism And Non-Contextuality Are Carefully Discussed This Is Done Also In Relation With The Famous Bell (Bchsh) Inequality Concerning Local Causality Written In A Didactic Style, This Book Includes Many Examples And Solved Exercises The Work Is Organized As Follows Chapter 1 Reviews Some Elementary Facts And Properties Of Quantum Systems Chapter 2 And 3 Present The Main Results Of Spectral Analysis In Complex Hilbert Spaces Chapter 4 Introduces The Point Of View Of The Orthomodular Lattices' Theory Quantum Theory Form This Perspective Turns Out To The Probability Measure Theory On The Non-Boolean Lattice Of Elementary Observables And Gleason's Theorem Characterizes All These Measures Chapter 5 Deals With Some Philosophical And Interpretative Aspects Of Quantum Theory Like Hidden-Variable Formulations Of Qm The Kochen-Specker Theorem And Its Implications Are Analyzed Also In Relation Bchsh Inequality, Entanglement, Realism, Locality, And Non-Contextuality Chapter 6 Focuses On The Algebra Of Observables Also In The Presence Of Superselection Rules Introducing The Notion Of Von Neumann Algebra Chapter 7 Offers The Idea Of (Groups Of) Quantum Symmetry, In Particular, Illustrated In Terms Of Wigner And Kadison Theorems Chapter 8 Deals With The Elementary Ideas And Results Of The So Called Algebraic Formulation Of Quantum Theories In Terms Of Both *-Algebras And C*-Algebras This Book Should Appeal To A Dual Readership: On One Hand Mathematicians That Wish To Acquire The Tools That Unlock The Physical Aspects Of Quantum Theories; On The Other Physicists Eager To Solidify Their Understanding Of The Mathematical Scaffolding Of Quantum Theories Binding:Paperback, PaperbackPublisher:SPRINGER NATUREPublication Date:2020-07-15Weight:1.09 lbsDimensions:Number of Pages:337Language:English

Price: 69.57 USD

Location: USA

End Time: 2024-11-18T11:50:13.000Z

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