Introduction to Quantum Mechanics [English]
This course is provided by NYCU Electrophysics .
This course will establish a complete foundation in quantum mechanics. It begins with the concepts of wave-particle duality and the uncertainty principle to build a physical picture of the probability interpretation and the wavefunction. Subsequently, using the Schrödinger equation, the course will deeply analyze key one-dimensional systems such as the potential well, the tunneling effect, and the quantum harmonic oscillator. The middle section will introduce Dirac notation and operator algebra to solve the three-dimensional angular momentum problem, fully derive the energy spectrum and orbitals of the hydrogen atom, and explore its Pauli matrix representation. Finally, the course will use the Stern-Gerlach experiment as a basis to explain Larmor precession and reveal the intrinsic property of electron spin.
Textbooks：Quantum Physics, Stephen Gasiorowicz (3rd Edition), Wiley.
Reference: Introduction to Quantum Mechanics by David J. Griffiths, 2nd. PEARSON 2014.
For perfect learning results, please buy textbooks!
| Instructor(s) | Department of Electrophysics Prof. Chung-Hou Chung |
|---|---|
| Course Credits | 3 Credits |
| Academic Year | 111 Academic Year |
| Level | College Students |
| Prior Knowledge | Modern Physics |
| Related Resources | Course Video Course Syllabus |
| Week | Course Content | Course Video |
|---|---|---|
| Introduction and Basic Concepts in Quantum Mechanics I | Watch Online | |
| Basic Concepts in Quantum Mechanics II | Watch Online | |
| Wave Mechanics(I): Wave-Particle Duality & Uncertainty Principle | Watch Online | |
| Wave Mechanics(II): Wave Packet | Watch Online | |
| Wave Mechanics(III): Heisenberg¡¦s Uncertainty Relation & Expectation Values | Watch Online | |
| Parity Symmetry in Quantum Mechanics | Watch Online | |
| One-Dimensional Potentials (I): Finite Potential Well | Watch Online | |
| One-Dimensional Potentials (II): Barrier | Watch Online | |
| One-Dimensional Potentials (III): Finite Potential Well: Bound State & Scattering State | Watch Online | |
| One-Dimensional Potentials (IV): Double Well & Quantum Tunneling | Watch Online | |
| One-Dimensional Potentials (V): WKB Approximation and the Harmonic Oscillator Problem | Watch Online | |
| One-Dimensional Potentials (VI): Quantum Harmonic Oscillator and Hermite Polynomial | Watch Online | |
| Operator Method (I): Linear Operators | Watch Online | |
| Operator Method (II): Operator Properties and Commutator | Watch Online | |
| Operator Method (III): Heisenberg Uncertainty Principle & Equation of Motion | Watch Online | |
| Operator Method (IV): Dirac Notation I | Watch Online | |
| Operator Method (V): Dirac Notation II | Watch Online | |
| Operator Method (VI): Projection Operator and Representation | Watch Online | |
| Operator Method (VII): Raising and Lowering Operators | Watch Online | |
| Angular Momentum (I): Commutation Relations | Watch Online | |
| Angular Momentum (II): Raising and Lowering Operators | Watch Online | |
| Angular Momentum (III): Spherical Harmonics | Watch Online | |
| 3D Schrodinger Equation and the Hydrogen Atom (I) | Watch Online | |
| 3D Schrodinger Equation and the Hydrogen Atom (II) | Watch Online | |
| 3D Schrodinger Equation and the Hydrogen Atom (III) | Watch Online | |
| Matrix Representation of Operators (I) | Watch Online | |
| Matrix Representation of Operators (II) | Watch Online | |
| Spin: Larmor Precession | Watch Online | |
| Application: The Eigenvalue of Spin | Watch Online |
Course Objectives
This course will establish a complete foundation in quantum mechanics. It begins with the concepts of wave-particle duality and the uncertainty principle to build a physical picture of the probability interpretation and the wavefunction. Subsequently, using the Schrödinger equation, the course will deeply analyze key one-dimensional systems such as the potential well, the tunneling effect, and the quantum harmonic oscillator. The middle section will introduce Dirac notation and operator algebra to solve the three-dimensional angular momentum problem, fully derive the energy spectrum and orbitals of the hydrogen atom, and explore its Pauli matrix representation. Finally, the course will use the Stern-Gerlach experiment as a basis to explain Larmor precession and reveal the intrinsic property of electron spin.
Course Chapter
| Week | Course Schedule and Topic |
| 1 | General structure of wave mechanics |
| 2 | Operator method in quantum mechanics |
| 3 | Angular momentum (I) |
| 4 | Angular momentum (II) |
| 5 | Schroedinger equation in three dimensions and the Hydrogen atom (I) |
| 6 | Schroedinger equation in three dimensions and the Hydrogen atom (II) * Bose-Einstein Condensation (BEC) |
| 7 | Matrix representation of Operators |
| 8 | Spin (I) |
| 9 | Spin (II) |
| 10 | Time independent perturbation theory (I) |
| 11 | Time independent perturbation theory (II) |
| 12 | The real Hydrogen atom |
| 13 | Time dependent perturbation theory |
| 14 | Interaction of charge particles with the electromagnetic field |
| 15 | Collision theory (I) |
| 16 | Collision theory (II) |
Textbook: Quantum Physics, Stephen Gasiorowicz (3rd Edition), Wiley.
Reference: Introduction to Quantum Mechanics by David J. Griffiths, 2nd. PEARSON 2014.