ABSTRACT

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.

chapter Chapter 1|2 pages

Structure of Physical Theories

chapter Chapter 2|1 pages

Classical Systems

chapter Chapter 3|4 pages

Probability Theory for Discrete Variables

chapter Chapter 4|7 pages

Probability Theory for Continuous Variables

chapter Chapter 5|3 pages

Quantum Mechanical Systems

chapter Chapter 6|5 pages

Three-Dimensional Real Vectors

chapter Chapter 7|8 pages

Matrices and Their Relations with Vectors

chapter Chapter 8|6 pages

Operations on Vectors in E → 3

chapter Chapter 9|9 pages

Special Operators on I E → 3

chapter Chapter 11|3 pages

Complex Vectors

chapter Chapter 12|5 pages

N-Dimensional Complex Vectors

chapter Chapter 13|16 pages

Operators on N-Dimensional Complex Vectors

chapter Chapter 14|7 pages

Model Theories Based on Complex Vector Spaces

chapter Chapter 15|3 pages

Spectral Theory in Terms of Stieltjes Integrals

chapter Chapter 17|8 pages

Operators in a Hilbert Space ℋ →

chapter Chapter 18|7 pages

Bounded Operators on ℋ →

chapter Chapter 19|5 pages

Symmetric and Selfadjoint Operators in ℋ →

chapter Chapter 20|6 pages

Spectral Theory of Selfadjoint Operators in ℋ →

chapter Chapter 21|2 pages

Spectral Theory of Unitary Operators on ℋ →

chapter Chapter 23|2 pages

Physics of Unitary Transformations

chapter Chapter 25|2 pages

Pure States

chapter Chapter 26|3 pages

Observables and Their Values

chapter Chapter 27|11 pages

Canonical Quantisation

chapter Chapter 28|6 pages

States, Observables and Probability Distributions

chapter Chapter 29|8 pages

Time Evolution

chapter Chapter 30|2 pages

On States after Measurement

chapter Chapter 31|3 pages

Pure and Mixed States

chapter Chapter 32|3 pages

Superselection Rules

chapter Chapter 33|2 pages

Many-Particle Systems

chapter Chapter 34|1 pages

Conceptual Issues

chapter Chapter 35|12 pages

Harmonic and Isotropic Oscillators

chapter Chapter 36|23 pages

Angular Momenta

chapter Chapter 37|4 pages

Particles in Static Magnetic Fields