Official government website of the Government of Kingdom of Saudi Arabia
Link to official Saudi websites end with edu.sa

All links to official educational websites in the Kingdom of Saudi Arabia end with sch.sa or edu.sa

Government websites use the HTTPS protocol for encryption and security.

Secure websites in the Kingdom of Saudi Arabia use the HTTPS protocol for encryption.

Registered with the Digital Government Authority under number:

20250417892
Main
Quantum Mechanics

Quantum Mechanics

PHYS3504 4 hours

Quantum Mechanics

This comprehensive course covers the fundamental principles and mathematical formulations of quantum mechanics, transitioning from classical to quantum physics. Key topics include wave-particle duality, Heisenberg's uncertainty principle, probabilistic interpretation, Hilbert space, Dirac notation and operator algebra. Students explore one-dimensional (free particle, infinite square well, potential barrier) and three-dimensional quantum systems (central potential, hydrogen atom), angular momentum (orbital and spin) and the Schr?dinger equation's role in describing quantum phenomena. Mathematical modeling, problem-solving and analytical techniques are emphasized throughout.
PHYS2401 Modern Physics
4 hours

One requisite

Origins of Quantum Physics and Limits of Classical Physics
1. Particle Aspect of Radiation and Wave Aspect of Particles
2. Particles versus Waves, Wave–Particle Duality: Complementarity
3. Indeterministic Nature of the Microphysical World, Heisenberg’s Uncertainty Principle
4. Probabilistic Interpretation
5. Wave Packets, Motion of Wave Packets: Group and Phase Velocities 8

Mathematical Tools of Quantum Mechanics
1. The Hilbert Space and Wave Functions, Square-Integrable Functions
2. Dirac Notation
3. Operators, Commutator Algebra, Eigenvalues and Eigenvectors
4. Representation in Discrete and Continuous Bases
5. Matrix and Wave Mechanics 10

Postulates of Quantum Mechanics
1. The Basic Postulates of Quantum Mechanics
2. Observables and Operators
3. Measurement in Quantum Mechanics: Expectation Value
4. Time Evolution of the System’s State
5. Connecting Quantum to Classical Mechanics, The Ehrenfest Theorem 10

One-Dimensional Problems
1. The Free Particle: Continuous States
2. The Infinite Square Well Potential
3. The Finite Square Well Potential
4. The Potential Barrier
5. The Harmonic Oscillator 12

Three-Dimensional Problems
1. The Schr?dinger Equation, The Central Potential
2. The Angular Equation, Spherical Harmonics
3. The Radial Equation
4. The Hydrogen atom; The Quantum Numbers n, l, m
5. The Energy Spectrum of Hydrogen 10

Angular momentum
1. Orbital Angular Momentum
2. General Formalism of Angular Momentum
3. Matrix Representation of Angular
4. Spin Angular Momentum, Evidence
5. Eigenfunctions of Orbital Angular Momentum