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School of Science
Course unit
SCP4068140, A.A. 2019/20

Information concerning the students who enrolled in A.Y. 2017/18

Information on the course unit
Degree course First cycle degree in
SC1160, Degree course structure A.Y. 2008/09, A.Y. 2019/20
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Number of ECTS credits allocated 6.0
Type of assessment Mark
Course unit English denomination QUANTUM PHYSICS (MOD. B)
Website of the academic structure
Department of reference Department of Physics and Astronomy
Mandatory attendance
Language of instruction Italian

Teacher in charge STEFANO GIUSTO FIS/02

Integrated course for this unit
Course unit code Course unit name Teacher in charge

ECTS: details
Type Scientific-Disciplinary Sector Credits allocated
Core courses FIS/02 Theoretical Physics, Mathematical Models and Methods 6.0

Course unit organization
Period Annual
Year 3rd Year
Teaching method frontal

Type of hours Credits Teaching
Hours of
Individual study
Lecture 6.0 48 102.0 No turn

Start of activities 30/09/2019
End of activities 20/06/2020
Show course schedule 2019/20 Reg.2008 course timetable

Examination board
Examination board not defined


Common characteristics of the Integrated Course unit

Prerequisites: Calculus 1 and 2. Geometry. Physics 1 and 2.
Target skills and knowledge: Basic knowledge of statistical mechanics, modern and quantum physics. Knowing how to use the Schroedinger's equation for solving simple problems. Knowing how to describe with quantum mechanics physical phenomena at the atomic scale.
Examination methods: Written exam with exercises and oral exam about the topics of the program.
Assessment criteria: Knowing topics and methods of quantum mechanics and their application to physical phenomena discussed in the course.

Specific characteristics of the Module

Course unit contents: 1) Postulates and general formalism of quantum mechanics. Superposition and correspondence principles. Observables. Hermitian operators, eigenvalues and eigenfunctions. Dirac formalism. Transition amplitudes and probabilities. Average values. Complete systems of observables. Complimentary and compatible variables. Commutator algebra. Uncertainty relation.
2) Representation theory. Coordinate representation. Schroedinger equation. Interpretation of the wave function. Momentum representation and Fourier transform.
3) Harmonic oscillator in one dimension. Eigenvalues and eigenfunctions. Hermite polynomials. Creation and annihilation operators. Algebraic solution of the harmonic oscillator. Coherent states.
4) Time evolution. Schroedinger and Heisenberg pictures. Unitary operators and hermitian generators.
5) Angular momentum. Commutation relations. Algebraic derivation of eigenvalues and eigenfunctions. Standard representation. Orbital angular momentum and spherical harmonics. Spin. Composition of angular momenta (sketch).
6) Central potentials. Hamiltonian in spherical coordinates. Separation of variables. Radial equation and its solution. Isotropic harmonic oscillator in 3D. Two body problem. Hydrogen atom. Solution of Schroedinger equation and energy spectrum.
7) Brief introduction to time independent perturbation theory: first order variation of energy levels.
Planned learning activities and teaching methods: Lectures in class of theory and exercises. Lectures are given in Italian.
Additional notes about suggested reading: Textbooks. Some sample problems will be suggested and will be available on the teacher's website (
Textbooks (and optional supplementary readings)
  • Griffiths, David Jeffrey, Introduzione alla meccanica quantistica (edizione italiana a cura di Franco Ciccacci e Luigi Quartapelle). Milano: CEA, 2005. Cerca nel catalogo
  • Sakurai, Jun John, Meccanica quantistica moderna. Bologna: Zanichelli, 1996. Cerca nel catalogo
  • Cohen-Tannoudji, Claude; Diu, Bernard; Laloe, Frank, Quantum Mechanics. New York: Wiley-Interscience, 1977. Cerca nel catalogo
  • Picasso, Luigi E., Lezioni di meccanica quantistica. Pisa: ETS, 2015. Cerca nel catalogo

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