This is a companion volume to K. Kong Wan’s textbook Quantum Mechanics: A Fundamental Approach, published in 2019 by Jenny Stanford Publishing. The book contains more than 240 exercises and problems listed at the end of most chapters. This essential manual presents full solutions to all the exercises and problems that are designed to help the reader master the material in the textbook. Mastery of the material in the book would contribute greatly to the understanding of the concepts and formalism of quantum mechanics.
Author(s): K. Kong Wan (editor)
Edition: 1
Publisher: Jenny Stanford Publishing
Year: 2020
Language: English
Pages: 242
Cover
Half Title
Title Page
Copyright Page
Dedication Page
Contents
Preface
1 Structure of Physical Theories
2 Classical Systems
3 Probability Theory for Discrete Variables
4 Probability Theory for Continuous Variables
5 Quantum Mechanical Systems
6 Three-Dimensional Real Vectors
7 Matrices and Their Relations with Vectors
8 Operations on Vectors in IE→3
9 Special Operators on IE→3
10 Probability, Selfadjoint Operators, Unit Vectors and the Need for Complexness
11 Complex Vectors
12 N-Dimensional Complex Vectors
13 Operators on N-Dimensional Complex Vectors
14 Model Theories Based on Complex Vector Spaces
15 Spectral Theory in Terms of Stieltjes Integrals
16 Infinite-Dimensional Complex Vectors and Hilbert Spaces
17 Operators in a Hilbert Space H→
18 Bounded Operators on H→
19 Symmetric and Selfadjoint Operators in H→
20 Spectral Theory of Selfadjoint Operators in H→
21 Spectral Theory of Unitary Operators on H→
22 Selfadjoint Operators, Unit Vectors and Probability Distributions
23 Physics of Unitary Transformations
24 Direct Sums and Tensor Products of Hilbert Spaces and Operators
25 Pure States
26 Observables and Their Values
27 Canonical Quantisation
28 States, Observables and Probability Distributions
29 Time Evolution
30 On States after Measurement
31 Pure and Mixed States
32 Superselection Rules
33 Many-Particle Systems
34 Conceptual Issues
35 Harmonic and Isotropic Oscillators
36 Angular Momenta
37 Particles in Static Magnetic Fields
Bibliography
