The purpose of A module is to provide basic knowledge of the formal structure of quantum mechanics and its application to the simplest case studies.
Course Prerequisites
Linear Algebra, Calculus, Operators on complex Hilbert spaces, Classical Mechanics, Electromagnetism.
Teaching Methods
Blackboard lectures. Exercises for self-assessment of the learning level.
Assessment Methods
The exam consists in a written test, where the student is faced with two exercises, aimed at assessing the ability to apply the theoretical notions to simple cases, and an oral test, where knowledge and understanding of the theoretical notions of the course will be verified.
Texts
Griffiths Schroeter, "Introduction to Quantum Mechanics"
Contents
Axioms and the mathematical structure of the theory. Application to increasingly complex cases. Infinite potential well, Dirac delta-like well, free particle in 1-d. Harmonic oscillator and coherent states. Commutator and incompatible quantities, Robertson's inequality, Robertson-Schrödinger's, and Heisenberg's uncertainty relation. Tensor product and composite systems. Angular momentum. Hydrogen atom. General Born rule and density matrix description. State purification and entanglement. Indistinguishable particles.CHSH inequality and its quantum violation.
