General information 
Course unit name: Advanced Quantum Mechanics
Course unit code: 574634
Academic year: 20212022
Coordinator: Bruno Julia Diaz
Department: Department of Quantum Physics and Astrophysics
Credits: 6
Single program: S
Estimated learning time 
Total number of hours 150 
Facetoface and/or online activities 
48 
 Lecture 
Facetoface and online 
32 

 Lecture with practical component 
Facetoface and online 
16 
Independent learning 
102 
Competences to be gained during study 
Ability to develop perturbation theory approximations to known problems

Learning objectives 
Referring to knowledge

Teaching blocks 
1. Foundations of quantum mechanics
*
Postulates of quantum mechanics
Dirac notation
Harmonic oscillator (ladder operators)
Coherent states
Angular momentum
Spin
2.
Perturbation theory
*
Nondegenerate & degenerate systems
Schrödinger, Heisenberg and Interaction Pictures
Timedependent perturbation theory
Fermi golden rule
3.
Second quantization
*
Creation & annihilation operators
Fock spaces
Manybody perturbation theory
4.
Scattering theory
*
LippmannSchwinger equation
Unitarity and optical theorem
Partial wave expansion
Tmatrix and the Born approximation
Scattering length and effective range
Teaching methods and general organization 

Official assessment of learning outcomes 

Reading and study resources 
Consulteu la disponibilitat a CERCABIB
Book
Ballentine, L. E. Quantum Mechanics: A Modern Development. World Scientific, 1998.
CohenTannoudji, C.; Diu, B.; Laloë, F.; Quantum Mechanics, Volume 2. Second Edition. Wiley & Sons, 2020.
Esposito, G.; Marmo, G.; Miele, G.; Sudarshan, G. Advanced Concepts in Quantum Mechanics, Cambridge University Press, 2015.
Merzbacher, E. Quantum Mechanics. Third Edition. Wiley & Sons, 1998.
Sakurai, J. J. Modern Quantum Mechanics. Revised Edition. AddisonWesley, 1994