Book contents
- Frontmatter
- Contents
- Preface to the first edition
- Preface to the second edition
- MATLAB® programs
- 1 Introduction
- 2 Toward quantum mechanics
- 3 Using the Schrödinger wave equation
- 4 Electron propagation
- 5 Eigenstates and operators
- 6 The harmonic oscillator
- 7 Fermions and bosons
- 8 Time-dependent perturbation
- 9 The semiconductor laser
- 10 Time-independent perturbation
- 11 Angular momentum and the hydrogenic atom
- Appendix A Physical values
- Appendix B Coordinates, trigonometry, and mensuration
- Appendix C Expansions, differentiation, integrals, and mathematical relations
- Appendix D Matrices and determinants
- Appendix E Vector calculus and Maxwell's equations
- Appendix F The Greek alphabet
- Index
2 - Toward quantum mechanics
Published online by Cambridge University Press: 05 June 2012
- Frontmatter
- Contents
- Preface to the first edition
- Preface to the second edition
- MATLAB® programs
- 1 Introduction
- 2 Toward quantum mechanics
- 3 Using the Schrödinger wave equation
- 4 Electron propagation
- 5 Eigenstates and operators
- 6 The harmonic oscillator
- 7 Fermions and bosons
- 8 Time-dependent perturbation
- 9 The semiconductor laser
- 10 Time-independent perturbation
- 11 Angular momentum and the hydrogenic atom
- Appendix A Physical values
- Appendix B Coordinates, trigonometry, and mensuration
- Appendix C Expansions, differentiation, integrals, and mathematical relations
- Appendix D Matrices and determinants
- Appendix E Vector calculus and Maxwell's equations
- Appendix F The Greek alphabet
- Index
Summary
Introduction
It is believed that the basic physical building blocks forming the world we live in may be categorized into particles of matter and carriers of force between matter. All known elementary constituents of matter and transmitters of force are quantized. For example, energy, momentum, and angular momentum take on discrete quantized values. The electron is an example of an elementary particle of matter, and the photon is an example of a transmitter of force. Neutrons, protons, and atoms are composite particles made up of elementary particles of matter and transmitters of force. These composite particles are also quantized. Because classical mechanics is unable to explain quantization, we must learn quantum mechanics in order to understand the microscopic properties of atoms – which, for example, make up solids such as crystalline semiconductors.
Historically, the laws of quantum mechanics have been established by experiment. The most important early experiments involved light. Long before it was realized that light waves are quantized into particles called photons, key experiments on the wave properties of light were performed. For example, it was established that the color of visible light is associated with different wavelengths of light. Table 2.1 shows the range of wavelengths corresponding to different colors.
The connection between optical and electrical phenomena was established by Maxwell in 1864. This extended the concept of light to include the complete electromagnetic spectrum. A great deal of effort was, and continues to be, spent gathering information on the behavior of light.
- Type
- Chapter
- Information
- Applied Quantum Mechanics , pp. 57 - 116Publisher: Cambridge University PressPrint publication year: 2006