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Quantum Physics
Engineering & Social Sciences Program
Madrid, Spain
Dates: early Sep 2025 - mid Dec 2025
Quantum Physics
OVERVIEW
CEA CAPA Partner Institution: Universidad Carlos III de Madrid
Location: Madrid, Spain
Primary Subject Area: Physics
Instruction in: English
Course Code: 18306
Transcript Source: Partner Institution
Course Details: Level 200
Recommended Semester Credits: 3
Contact Hours: 42
Prerequisites: It is highly recommended that students have successfully passed the following first-year subjects: Physics I, Physics II, Calculus I, Calculus II, Algebra & Programming.
DESCRIPTION
1. Foundation of Quantum Mechanics. Black body spectrum and Planck's postulate. Einstein's theory of the photoelectric effect. The Compton effect. De Broglie
principle and the wave-particle duality. Rutherford and Bohr atomic models.
2. Schrödinger's equation. Wave functions. Born interpretation: probability density. Expected values and measurement. Energy, position and momentum. Uncertainty principle.
3. Time-independent Schrödinger equation. Energy quantization. Bounded and unbounded states.
4. Unidimensional problems. Free particle solution. Potential steps, wells and barriers. The harmonic oscillator. Quantum tunnelling.
5. Three-dimensional problems. Central potentials. The Schrödinger equation in spherical coordinates.
6. Solution of the Hydrogen atom.
principle and the wave-particle duality. Rutherford and Bohr atomic models.
2. Schrödinger's equation. Wave functions. Born interpretation: probability density. Expected values and measurement. Energy, position and momentum. Uncertainty principle.
3. Time-independent Schrödinger equation. Energy quantization. Bounded and unbounded states.
4. Unidimensional problems. Free particle solution. Potential steps, wells and barriers. The harmonic oscillator. Quantum tunnelling.
5. Three-dimensional problems. Central potentials. The Schrödinger equation in spherical coordinates.
6. Solution of the Hydrogen atom.