Enrollment year
2022/2023
Academic discipline
FIS/02 (THEORETICAL PHYSICS, MATHEMATICAL MODELS AND METHODS)
Department
DEPARTMENT OF PHYSICS
Curriculum
PERCORSO COMUNE
Period
1st semester (23/09/2024 - 10/01/2025)
Lesson hours
48 lesson hours
Activity type
WRITTEN AND ORAL TEST
Prerequisites
Linear Algebra, Calculus, Operators on complex Hilbert spaces, Classical Mechanics, Electromagnetism.
Learning outcomes
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 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.
Teaching methods
Blackboard lectures.
Exercises for self-assessment of the learning level.
Reccomended or required readings
Griffiths Schroeter, "Introduction to Quantum Mechanics"
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.
Further information
English friendly
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