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Autor(en): 
  • Valter Moretti
  • Fundamental Mathematical Structures of Quantum Theory: Spectral Theory, Foundational Issues, Symmetries, Algebraic Formulation, Quantum Measurement Th 
     

    (Buch)
    Dieser Artikel gilt, aufgrund seiner Grösse, beim Versand als 3 Artikel!


    Übersicht

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    Lieferstatus:   Vorankündigung
    Veröffentlichung:  ANGEKÜNDIGT (Oktober 2026)  
    Genre:  Schulbücher 
     
    algebraic formulation / Bell inequality / Completely Positive Map / Complex Hilbert spaces / entanglement / Gleason's theorem / Heisenberg inequalities / hidden variables
    ISBN:  9783032361035 
    EAN-Code: 
    9783032361035 
    Verlag:  Springer International Publishing 
    Einband:  Kartoniert  
    Sprache:  English  
    Dimensionen:  H 235 mm / B 155 mm / D  
    Seiten:  506 
    Illustration:  XIV, 506 p. 1 illus. in color., farbige Illustrationen 
    Zus. Info:  EUDR exemption - product or manufacturing materials placed on the market prior to 31.12.2025. 
    Bewertung: Keine Bewertung vor Veröffentlichung möglich.
    Inhalt:
    Quantum theory is built upon a remarkably rich mathematical structure, where concepts such as states, observables, probability, symmetry, and measurement acquire precise analytical and algebraic meaning. This book provides a comprehensive and rigorous introduction to that structure, presenting the mathematical foundations of quantum theory as a coherent whole. Beginning with the Hilbert-space formulation, the text develops spectral theory, operator theory, quantum logic, von Neumann and C*-algebras, symmetries, superselection rules, and the algebraic formulation of quantum theory before culminating in a modern treatment of generalized quantum measurements. Particular attention is devoted to the conceptual foundations of quantum mechanics, including contextuality, hidden-variable theories, Bell inequalities, entanglement, and the mathematical aspects of quantum probability. Extensively revised and significantly expanded, this second edition introduces two new chapters on contemporary quantum measurement theory, covering effects, POVMs, quantum operations, channels, instruments, Stinespring and Naimark dilation theorems, and related foundational issues. Throughout the book, physical motivation accompanies rigorous mathematical development, with complete proofs, numerous examples, and solved exercises. Designed for advanced Master's and PhD students as well as researchers in mathematics and theoretical physics, this volume serves both as a graduate textbook and as a lasting reference on the mathematical and conceptual foundations of quantum theory.
      



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