Courses Catalogue

Syllabus of the course: Quantum Mechanics I

In this web page we provide the syllabus of the course Quantum Mechanics I, offered by the Department of Physics.
The list of the courses offered during the current accademic year is available here.
The list of all courses offered by the Department of Physics is available here.

InstructorV. Niarchos
ProgramMonday, 15:00-17:00, Amphitheater A201, Department of Math.
Wednesday, 15:00-17:00, Amphitheater A201, Department of Math.
Friday 15:00-17:00, Amphitheater A201, Department of Math.
Web page
Goal of the courseThe course is intended for third-year undergraduates and its purpose is to give a rather complete presentation of non-relativistic quantum mechanics.
SyllabusBasic 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)
Bibliography1. «Κβαντομηχανική ΙΙ» - Στ. Τραχανάς, Πανεπιστημιακές Εκδόσεις Κρήτης, Νοέμβριος 2008
2. «Εισαγωγή στην Κβαντομηχανική» - K. Ταμβάκης, Leader Books, 2003

University of Crete - Department of Physics  - Voutes University Campus - GR-70013 Heraklion, Greece
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