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Advanced Quantum Mechanics

Code
Φ-503
Level
Graduate
Category
B
Teacher
G. Athanasiu
ECTS
6
Hours
6
Semester
Spring
Display
Yes
Offered
Yes
Goal of the course
The course is intended for graduate students as well as for undergraduates with the proper background.
Program
Wednessday 15:00-17:00, Room 4
Thursday 15:00-17:00, Room 4
Syllabus
Introduction: Review of Fundamental Principles of Quantum Mechanics.
Perturbations: Time-independent perturbations – Time-dependent perturbations – WKB method – variational method – adiabatic & sudden perturbations.
Angular Momentum: Introduction, angular momentum operators and eigenfunctions – addition of angular momenta – spin, identical particles.
Scattering: Introduction, scattering cross-section, scattering amplitude – high energy scattering – low energy scattering.
Quantum Transitions: General theory – transition amplitude – Fermi rules – elementary transitions & selection rules – ionization & resonance absorption - applications.
Measurement Theory: Introduction – Bell inequalitites – entanglement.
Introduction to relativistic quantum mechanics: Klein-Gordon, Dirac equations – Hydrogen atom, Lamb shift.
Bibliography
«Κβαντοµηχανική ΙΙ» - Στ. Τραχανάς, Πανεπιστηµιακές Εκδόσεις Κρήτης, Νοέµβριος 2008
«The Quantum Theory of Fields, Volume I» - St. Weinberg, Cambridge University Press