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Author International School of Physics "Enrico Fermi" (197th : 2016 : Varenna, Italy)

Title 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
Published Amsterdam : IOS Press, 2019


Description 1 online resource
Series Proceedings of the International School of Physics "Enrico Fermi", 1879-8195 ; course 197
International School of Physics "Enrico Fermi." Proceedings of the International School of Physics "Enrico Fermi" ; course 197.
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
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
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
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
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.
Quantum Theory
SCIENCE -- Energy.
SCIENCE -- Mechanics -- General.
SCIENCE -- Physics -- General.
Quantum theory.
Genre/Form Conference papers and proceedings.
Conference papers and proceedings.
Actes de congrès.
Form Electronic book
Author Rasel, E. M., editor.
Schleich, Wolfgang, editor.
Wölk, S. (Sabine), editor.
ISBN 9781614999379
Other Titles Fondamenti della teoria dei quanti