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BL
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| Record Number
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854514
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| Main Entry
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International School of Physics "Enrico Fermi"(197th :2016 :, Varenna, Italy)
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| Title & Author
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Foundations of quantum theory /\ edited by E.M. Rasel and W.P. Schleich, directors of the course, and S. Wölk = Fondamenti della teoria dei quanti / a cura di E.M. Rasel e W.P. Schleich, direttori del corso, e di S. Wölk.
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| Publication Statement
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Amsterdam :: IOS Press,, 2019.
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| Series Statement
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Proceedings of the International School of Physics "Enrico Fermi",; course 197
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| Page. NO
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1 online resource
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| ISBN
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1614999376
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: 9781614999379
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1614999368
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8874381158
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9781614999362
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9788874381159
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| Notes
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"Varenna on Lake Como, Villa Monastero, 8-13 July 2016."
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| Bibliographies/Indexes
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Includes bibliographical references.
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| Contents
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Intro; Title Page; Contents; Preface; Course group shot; Science in tumultuous times; Introduction; 1. The years of the First World War (1914-1918); 2. Post-War years (1919-1921); 3. Quantum mechanics (the 1920s); 4. Exile (1933); 5. The atom bomb (1945); 6. The Nobel Prize (1954); 7. Conclusion (1970); Appendix A; Appendix B; But God does play dice: The path to quantum mechanics; Introduction; 1. Breslau, Germany (now Wroclaw, Poland); 2. Gottingen; 3. Frankfurt; 4. Gottingen again; 5. America; 6. Gottingen; From the Bohr model to Heisenberg's quantum mechanics; 1. Introduction
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2. From Balmer to Bohr; 3. The Bohr model between success and failure; 4. Heisenberg's path from classical physics to quantum mechanics; 4.1. Action integral in Fourier space; 4.2. Extension to an arbitrary frequency spectrum; 4.3. The appearance of non-commuting quantities; 5. Quantization of the linear harmonic oscillator; 6. Light at the end of the tunnel; The linearity of quantum mechanics and the birth of the Schrodinger equation; 1. Introduction; 1.1. Linearization of the non-linear wave equation; 1.2. Key ideas of our previous approaches; 1.3. Outline
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2. Road towards the Schrodinger equation; 3. Comparison with the literature; 4. Why zero?; 4.1. A curious mathematical identity; 4.2. Definition of a quantum wave by its amplitude; 4.3. Formulation of the problem; 5. Classical mechanics guides the amplitude of the Schrodinger wave; 5.1. Hamilton-Jacobi theory in a nutshell; 5.2. Classical action as a phase field; 6. Quantum condition implies linear Schrodinger equation; 6.1. Emergence of a quantum phase; 6.2. Continuity equation with quantum current; 6.3. Quantum Hamilton-Jacobi equation
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7. Classicality condition implies non-linear wave equation; 7.1. General real amplitude; 7.2. Amplitude given by Van Vleck determinant; 7.2.1. Super-classical waves; 7.2.2. Super-classical waves are WKB waves; 8. From Van Vleck via Rosen to Schrodinger; 8.1. The need for linearity; 8.2. Linearization due to quantum current; 9. Summary and outlook; Appendix A. Van Vleck continuity equation; Appendix A.1. One-dimensional case; Appendix A.1.1. Derivation of continuity equation; Appendix A.1.2. Explicit expressions for density and current from action
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Appendix A.1.3. Density and current from continuity equation; Appendix A.2. Multi-dimensional case; Appendix A.3. Differential of a determinant; Appendix B. Non-linear wave equation for WKB wave; Wave phenomena and wave equations; 1. Preludium; 2. Water waves; 2.1. Wave equation for water waves; 3. Matter wave; 3.1. Wave equation for matter wave; 4. Final remark; 5. Further readings; History leading to Bell's inequality and experiments; 1. Introduction; 2. Early history; 3. The beginnings of quantum mechanics; 4. Bell Inequalities; 5. Initial experiments
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| Subject
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Quantum theory.
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| Subject
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Quantum theory.
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| Subject
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SCIENCE-- Energy.
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SCIENCE-- Mechanics-- General.
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| Subject
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SCIENCE-- Physics-- General.
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| Dewey Classification
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530.12
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| LC Classification
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QC174.12
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| Added Entry
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Rasel, E. M.
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Schleich, Wolfgang
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Wölk, S., (Sabine)
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| Parallel Title
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Fondamenti della teoria dei quanti
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