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Valter Moretti

    Fundamental Mathematical Structures of Quantum Theory
    Analytical Mechanics
    • Analytical Mechanics

      Classical, Lagrangian and Hamiltonian Mechanics, Stability Theory, Special Relativity

      • 860 páginas
      • 31 horas de lectura

      Focused on classical Mathematical Physics, this textbook introduces key concepts such as Classical Mechanics, Lagrangian and Hamiltonian formulations, and significant theorems like Lyapunov stability and Poincaré recurrence. It rigorously explores Special Relativity through an axiomatic approach, emphasizing the logical-mathematical structure of the theories. The text highlights critical themes like Galilean and Poincaré symmetries, the interplay between symmetries and constants of motion, and the global description of Dynamics. Designed for flexibility, it caters to diverse curricula and student needs.

      Analytical Mechanics
    • Fundamental Mathematical Structures of Quantum Theory

      Spectral Theory, Foundational Issues, Symmetries, Algebraic Formulation

      • 352 páginas
      • 13 horas de lectura

      The textbook delves into advanced mathematical structures essential for understanding quantum theory, emphasizing the connections between logic, lattice theory, and probability. It covers key concepts like von Neumann algebras and the algebraic formulation inherent in quantum mechanics. The text also explores significant results related to hidden-variable interpretations, including Gleason's and Kochen-Specker theorems, and discusses realism and non-contextuality in the context of Bell's inequality. This comprehensive approach is tailored for MSc students.

      Fundamental Mathematical Structures of Quantum Theory