| Area of Mathematics: | Physics (EPh) |
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| Semester: | 7o | ||
| Course ID: | 72502 | ||
| Course Type: | Elective | ||
| Teaching hours per week: | Theory: 4 | Practice: 0 | Laboratory: 0 |
| ECTS : | 5 | ||
| Eclass: | |||
| Instructors: | |||
Description
- Mathematical description of matter waves.
- Basic statistical concepts, statistical interpretation of wavefunction, probability amplitude, physical quantities as operators.
- Schrödinger equation.
- Hermitian operators and probability conservation.
- Mathematical background of Quantum Mechanics: Operators, Hilbert space, states, ket and bra wave vectors,Eigenstates, Eigenvalues.
- Measurement procedure. Time evolution of physical systems.
- Schrödinger and Heisenberg representations.
- Simple physical systems: one-dimensional potentials (potential barrier, square potentials, well of infinite depth potential, delta-potential), bound states, harmonic oscillator.
- Two and three dimensional quantum systems.
- Symmetries, Conservation laws.
- Hydrogen atom.
Bibliography
- Griffiths, D. J. Introduction to Quantum Mechanics, Person Prentice Hall, London, 1995.
- Zettili, N. Quantum Mechanics, Person Prentice Hall, New York, John Wiley & Sons, Inc., 2004.
