| Description |
1 online resource |
| Series |
Proceedings of the International School of Physics "Enrico Fermi", 1879-8195 ; course 197 |
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International School of Physics "Enrico Fermi."
Proceedings of the International School of Physics "Enrico Fermi" ; course 197.
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| Contents |
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 |
| Notes |
"Varenna on Lake Como, Villa Monastero, 8-13 July 2016." |
| Bibliography |
Includes bibliographical references |
| Notes |
Online resource; title from PDF title page (IOS Press, viewed February 22, 2019) |
| Subject |
Quantum theory.
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Quantum Theory
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SCIENCE -- Energy.
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SCIENCE -- Mechanics -- General.
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SCIENCE -- Physics -- General.
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Quantum theory
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| Genre/Form |
proceedings (reports)
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Conference papers and proceedings
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Conference papers and proceedings.
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Actes de congrès.
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| Form |
Electronic book
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| Author |
Rasel, E. M., editor.
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Schleich, Wolfgang, editor.
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Wölk, S. (Sabine), editor.
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| ISBN |
9781614999379 |
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1614999376 |
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