The course is intended for third-year undergraduates and its purpose is to give a rather complete presentation of non-relativistic quantum mechanics.
Monday, 16:00-18:00, Amphitheater X/P
Wednesday, 15:00-17:00, Amphitheater X/P
Friday 16:00-18:00, Amphitheater X/P
Basic principles of quantum mechanics: dynamical variables, theory of measurement, equations of motion. (Trahanas, Chapter 1, 3 weeks)
Mathematical formalism of quantum mechanics: Hilbert spaces, operators, Dirac Formalism, Pictures and representations, symmetry transformations. (Trahanas, Chapters 2-4, 2 weeks)
Simple dynamical systems: free particle, one-dimensional potentials, harmonic oscillator. (Trahanas, Chapter 5, 2 weeks)
Angular momentum, central potentials, angular momentum operators, algebraic theory of angular momentum, solutions to equations of motion, hydrogen atom.(Trahanas, Chapter 6, 3 weeks)
Spin and identical particles. Description of spin, Pauli matrices, Spin/Statistics(Trahanas, Chapters 7-8, 2 weeks)
Introduction to perturbation theory: Types of perturbations, general methodology, simple applications.(Trahanas, Chapter 9, 1 week)
1. «Κβαντομηχανική ΙΙ» - Στ. Τραχανάς, Πανεπιστημιακές Εκδόσεις Κρήτης, Νοέμβριος 2008
2. «Εισαγωγή στην Κβαντομηχανική» - K. Ταμβάκης, Leader Books, 2003