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Exam (elaborations) TEST BANK FOR Introductory Quantum Optics 1st Edit
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Exam of 161 pages for the course TEST BANK FOR Introductory Quantum Optics 1st Edit at UM (calculations)
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2, Adil Benmoussa
Solutions Manual
To
INTRODUCTORY QUANTUM OPTICS
By C. C. Gerry and P. L. Knight
May 15, 2005
,Table of Contents
Table of Contents 3
1 Introduction 7
2 Field Quantization 9
2.1 problem 2.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9
2.2 problem 2.2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9
2.3 problem 2.3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10
2.4 problem 2.4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11
2.5 problem 2.5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12
2.6 problem 2.6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14
2.7 Problem 2.7 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17
2.8 Problem 2.8 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18
2.9 Problem 2.9 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18
2.10 Problem 2.10 . . . . . . . . . . . . . . . . . . . . . . . . . . . 21
2.11 Problem 2.11 . . . . . . . . . . . . . . . . . . . . . . . . . . . 22
2.12 Problem 2.12 . . . . . . . . . . . . . . . . . . . . . . . . . . . 22
2.13 Problem 2.13 . . . . . . . . . . . . . . . . . . . . . . . . . . . 23
3 Coherent States 25
3.1 Problem 3.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25
3.2 Problem 3.2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26
3.3 Problem 3.3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27
3.4 Problem 3.4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27
3.5 Problem 3.5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28
3.6 Problem 3.6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29
3.7 Problem 3.7 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30
3
, 4 CONTENTS
3.8 Problem 3.8 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33
3.9 Problem 3.9 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36
3.10 Problem 3.10 . . . . . . . . . . . . . . . . . . . . . . . . . . . 37
3.11 Problem 3.11 . . . . . . . . . . . . . . . . . . . . . . . . . . . 37
3.12 Problem 3.12 . . . . . . . . . . . . . . . . . . . . . . . . . . . 38
3.13 Problem 3.13 . . . . . . . . . . . . . . . . . . . . . . . . . . . 40
3.14 Problem 3.14 . . . . . . . . . . . . . . . . . . . . . . . . . . . 42
4 Emission and Absorption of Radiation by Atoms 45
4.1 Problem 4.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45
4.2 Problem 4.2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46
4.3 Problem 4.3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47
4.4 Problem 4.4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 48
4.5 Problem 4.5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49
4.6 Problem 4.6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52
4.7 Problem 4.7 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56
4.8 Problem 4.8 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59
4.9 Problem 4.9 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 63
4.10 Problem 4.10 . . . . . . . . . . . . . . . . . . . . . . . . . . . 64
4.11 Problem 4.11 . . . . . . . . . . . . . . . . . . . . . . . . . . . 65
4.12 Problem 4.12 . . . . . . . . . . . . . . . . . . . . . . . . . . . 68
4.13 Problem 4.13 . . . . . . . . . . . . . . . . . . . . . . . . . . . 68
5 Quantum Coherence Functions 71
5.1 Problem 5.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71
5.2 Problem 5.2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73
5.3 Problem 5.3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74
5.4 Problem 5.4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75
5.5 Problem 5.5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 76
6 Interferometry 79
6.1 Problem 6.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 79
6.2 Problem 6.2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 80
6.3 Problem 6.3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 80
6.4 Problem 6.4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 81
6.5 Problem 6.5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 83
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