
Course unit
QUANTUM PHYSICS (MOD. B)
SCP4068140, A.A. 2019/20
Information concerning the students who enrolled in A.Y. 2017/18
Integrated course for this unit
Course unit code 
Course unit name 
Teacher in charge 
SCP4068138 
QUANTUM PHYSICS 
ALBERTO AMBROSETTI 
ECTS: details
Type 
ScientificDisciplinary 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 
Hours of Individual study 
Shifts 
Lecture 
6.0 
48 
102.0 
No turn 
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 (http://www.pd.infn.it/~giusto). 
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.

Sakurai, Jun John, Meccanica quantistica moderna. Bologna: Zanichelli, 1996.

CohenTannoudji, Claude; Diu, Bernard; Laloe, Frank, Quantum Mechanics. New York: WileyInterscience, 1977.

Picasso, Luigi E., Lezioni di meccanica quantistica. Pisa: ETS, 2015.

Innovative teaching methods: Teaching and learning strategies
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