SOLUTIONS MANUAL
All Chapters Included
,Quantum Mechanics
Problems and Solutions
K. Kong Wan
, Contents
Preface xi
1 Structure of Physical Theories 1
2 Classical Systems 3
3 Probability Theory for Discrete Variables 5
4 Probability Theory for Continuous Variables 9
5 Quantum Mechanical Systems 17
6 Three-Dimensional Real Vectors 21
7 Matrices and Their Relations with Vectors 27
8 Operations on Vectors in I→E
3
35
9 Special Operators on IE→ 3 41
10 Probability, Selfadjoint Operators, Unit Vectors and the
Need for Complexness 51
11 Complex Vectors 55
12 N-Dimensional Complex Vectors 59
13 Operators on N-Dimensional Complex Vectors 65
14 Model Theories Based on Complex Vector Spaces 81
, viii Contents
15 Spectral Theory in Terms of Stieltjes Integrals 89
16 Infinite-Dimensional Complex Vectors and Hilbert Spaces 93
→
17 Operators in a Hilbert Space H 99
→
18 Bounded Operators on H 107
→
19 Symmetric and Selfadjoint Operators in H 115
→
20 Spectral Theory of Selfadjoint Operators in H 121
→
21 Spectral Theory of Unitary Operators on H 127
22 Selfadjoint Operators, Unit Vectors and Probability
Distributions 129
23 Physics of Unitary Transformations 133
24 Direct Sums and Tensor Products of Hilbert Spaces and
Operators 135
25 Pure States 143
26 Observables and Their Values 145
27 Canonical Quantisation 149
28 States, Observables and Probability Distributions 161
29 Time Evolution 167
30 On States after Measurement 175
31 Pure and Mixed States 177
32 Superselection Rules 181
33 Many-Particle Systems 185
All Chapters Included
,Quantum Mechanics
Problems and Solutions
K. Kong Wan
, Contents
Preface xi
1 Structure of Physical Theories 1
2 Classical Systems 3
3 Probability Theory for Discrete Variables 5
4 Probability Theory for Continuous Variables 9
5 Quantum Mechanical Systems 17
6 Three-Dimensional Real Vectors 21
7 Matrices and Their Relations with Vectors 27
8 Operations on Vectors in I→E
3
35
9 Special Operators on IE→ 3 41
10 Probability, Selfadjoint Operators, Unit Vectors and the
Need for Complexness 51
11 Complex Vectors 55
12 N-Dimensional Complex Vectors 59
13 Operators on N-Dimensional Complex Vectors 65
14 Model Theories Based on Complex Vector Spaces 81
, viii Contents
15 Spectral Theory in Terms of Stieltjes Integrals 89
16 Infinite-Dimensional Complex Vectors and Hilbert Spaces 93
→
17 Operators in a Hilbert Space H 99
→
18 Bounded Operators on H 107
→
19 Symmetric and Selfadjoint Operators in H 115
→
20 Spectral Theory of Selfadjoint Operators in H 121
→
21 Spectral Theory of Unitary Operators on H 127
22 Selfadjoint Operators, Unit Vectors and Probability
Distributions 129
23 Physics of Unitary Transformations 133
24 Direct Sums and Tensor Products of Hilbert Spaces and
Operators 135
25 Pure States 143
26 Observables and Their Values 145
27 Canonical Quantisation 149
28 States, Observables and Probability Distributions 161
29 Time Evolution 167
30 On States after Measurement 175
31 Pure and Mixed States 177
32 Superselection Rules 181
33 Many-Particle Systems 185
