Introduction to Quantum Mechanics 2

Table of contents

1. Cover
2. Foreword
3. Preface
4. 1 Schrödinger’s Equation and its Applications
   1. 1.1. Physical state and physical quantity
   2. 1.2. Square-summable wave function
   3. 1.3. Operator
   4. 1.4. Evolution of physical systems
   5. 1.5. Properties of Schrödinger’s equation
   6. 1.6. Applications of Schrödinger’s equation
   7. 1.7. Exercises
   8. 1.8. Solutions
5. 2 Hermitian Operator, Dirac’s Notations
   1. 2.1. Orthonormal bases in the space of square-summable wave functions
   2. 2.2. Space of states, Dirac’s notations
   3. 2.3. Hermitian operators
   4. 2.4. Commutator algebra
   5. 2.5. Exercises
   6. 2.6. Solutions
6. 3 Eigenvalues and Eigenvectors of an Observable
   1. 3.1. Representation
   2. 3.2. Eigenvalues equation, mean value
   3. 3.3. Conservative systems
   4. 3.4. Exercises
   5. 3.5. Solutions
7. Appendix 1: Quantum Well of Semiconductor Materials
   1. A1.1. 2D, 1D and 0D confinement
   2. A1.2. Description of the quantum wells of semiconductors
   3. A1.3. Wave function and levels of energy
8. Appendix 2: Quantum Dot of Semiconductor Materials
   1. A2.1. Definition, qubits
   2. A2.2. Quantum dots emergence
   3. A2.3. Confinement energy
9. Appendix 3: Transparency of a Potential Barrier, Resonance
   1. A3.1. Expression of transparency
   2. A3.2. Resonance
10. References
11. Index
12. End User License Agreement