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Author:   John Boccio

Quantum Mechanics Mathematical Structure and Physical Structure Part 1 John R. Boccio Emeritus Professor of Physics Swarthmore College Copyright © 2014 by Professor John Boccio Do not reproduce or distribute copies of this book without permission. June 17, 2014

 

Quantum Mechanics Mathematical Structure and Physical Structure Part II 3rd Table of contents:

9 Time-Dependent Perturbation Theory 683

9.1 Theory 

9.1.1 What is the physical meaning of this result? 

9.2 Atomic Radiation and Selection Rules 

9.2.1 The Electric Dipole Approximation

9.2.2 Induced Emission and Absorption 

9.3 A Real Physical Process – Ionization

9.3.1 Evaluation of the Matrix Element 

9.4 Adiabatic and Sudden Approximations

9.5 Problems

10 Quantum Measurement 731

10.1 Basic Quantum Mechanics Reviewed

10.1.1 Where is the “collapse” postulate? 

10.2 The Measurement Process

10.2.1 The Density Operator 

10.2.2 A Crucial Example of the Need for the Density Operator 739

10.3 The so-called Gambler’s Ruin problem – a possible way to get tothe irreversible recording 

10.3.1 Mathematical Problem of the Points 

10.4 Another short digression – another way to get to the irreversiblerecording – Decoherence

10.5 Look closely at “which-path” experiments

11 The EPR Argument and Bell Inequality 821

11.1 Hidden variables and Bell’s Inequalities-1st Try

11.1.1 The Electron Spin 

11.1.2 Correlations Between the Two Spins 

11.1.3 A Simple Hidden Variable Model 

11.2 Bell’s Theorem and Experimental Results 

11.3 The EPR(Einstein-Podolsky-Rosen) Argument-Quick Overview

11.3.1 The Bell Inequality again 

11.4 EPR and Bell – The Details

11.4.1 Single-Photon Interference

11.4.2 Basic Formalism 

11.5 Inseparable Photons (the EPR Paradox) including some history 

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