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.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Amsterdam :
Name of Publisher, Distributor, etc.
IOS Press,
Date of Publication, Distribution, etc.
2019.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
1 online resource
SERIES
Series Title
Proceedings of the International School of Physics "Enrico Fermi",
Volume Designation
course 197
ISSN of Series
1879-8195 ;
GENERAL NOTES
Text of Note
"Varenna on Lake Como, Villa Monastero, 8-13 July 2016."
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references.
CONTENTS NOTE
Text of Note
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
Text of Note
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
Text of Note
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
Text of Note
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
Text of Note
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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OTHER EDITION IN ANOTHER MEDIUM
Title
Foundations of quantum theory.
International Standard Book Number
9781614999362
PARALLEL TITLE PROPER
Parallel Title
Fondamenti della teoria dei quanti
TOPICAL NAME USED AS SUBJECT
Quantum theory.
Quantum theory.
SCIENCE-- Energy.
SCIENCE-- Mechanics-- General.
SCIENCE-- Physics-- General.
(SUBJECT CATEGORY (Provisional
SCI-- 024000
SCI-- 041000
SCI-- 055000
DEWEY DECIMAL CLASSIFICATION
Number
530
.
12
Edition
23
LIBRARY OF CONGRESS CLASSIFICATION
Class number
QC174
.
12
PERSONAL NAME - ALTERNATIVE RESPONSIBILITY
Rasel, E. M.
Schleich, Wolfgang
Wölk, S., (Sabine)
CORPORATE BODY NAME - PRIMARY RESPONSIBILITY
International School of Physics "Enrico Fermi"(197th :2016 :, Varenna, Italy)