by A. C. PHILLIPS
There are many good advanced books on quantum mechanics but there is a
distinct lack of books which attempt to give a serious introduction at a level suitable for undergraduates who have a tentative understanding of mathematics, probability and classical physics. This book introduces the most important aspects of quantum mechanics in the simplest way possible, but challenging aspects which are essential for a meaningful understanding have not been evaded. It is an introduction to quantum mechanics which motivates the fundamental postulates of quantum mechanics by considering the weird behaviour of quantum particles ,reviews relevant concepts in classical physics before corresponding concepts are developed in quantum mechanics, presents mathematical arguments in their simplest form, provides an understanding of the power and elegance of quantum mechanics that will make more advanced texts accessible.
Chapter 1 provides a qualitative description of the remarkable properties of quantum particles, and these properties are used as the guidelines for a theory of quantum mechanics which is developed in Chapters 2, 3 and 4.
Insight into this theory is gained by considering square wells and barriers in Chapter 5 and the harmonic oscillator in Chapter 6. Many of the concepts used in the first six chapters are clarified and developed in Chapter 7. Angular momentum in quantum mechanics is introduced in Chapter 8, but because angular momentum is a demanding topic, this chapter focusses on the ideas that are needed for an understanding of the hydrogen atom in Chapter 9,identical particles in Chapter 10 and many-electron atoms in Chapter 11. Chapter 10 explains why identical particles are described by entangled quantum states and how this entanglement for electrons leads to the Pauli exclusion principle.
Chapters 7 and 10 may be omitted without significant loss of continuity.They deal with concepts which are not needed elsewhere in the book.
There are many good advanced books on quantum mechanics but there is a
distinct lack of books which attempt to give a serious introduction at a level suitable for undergraduates who have a tentative understanding of mathematics, probability and classical physics. This book introduces the most important aspects of quantum mechanics in the simplest way possible, but challenging aspects which are essential for a meaningful understanding have not been evaded. It is an introduction to quantum mechanics which motivates the fundamental postulates of quantum mechanics by considering the weird behaviour of quantum particles ,reviews relevant concepts in classical physics before corresponding concepts are developed in quantum mechanics, presents mathematical arguments in their simplest form, provides an understanding of the power and elegance of quantum mechanics that will make more advanced texts accessible.
Chapter 1 provides a qualitative description of the remarkable properties of quantum particles, and these properties are used as the guidelines for a theory of quantum mechanics which is developed in Chapters 2, 3 and 4.
Insight into this theory is gained by considering square wells and barriers in Chapter 5 and the harmonic oscillator in Chapter 6. Many of the concepts used in the first six chapters are clarified and developed in Chapter 7. Angular momentum in quantum mechanics is introduced in Chapter 8, but because angular momentum is a demanding topic, this chapter focusses on the ideas that are needed for an understanding of the hydrogen atom in Chapter 9,identical particles in Chapter 10 and many-electron atoms in Chapter 11. Chapter 10 explains why identical particles are described by entangled quantum states and how this entanglement for electrons leads to the Pauli exclusion principle.
Chapters 7 and 10 may be omitted without significant loss of continuity.They deal with concepts which are not needed elsewhere in the book.
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