Course Details
Name:
Modelli Matematici / Mathematical Models
Basic information
Credits:
Bachelor Degree in Mathematics: 3 Ects (c)
Degree(s):
Compulsory 3^{rd} year Bachelor Degree in Mathematics curriculum Generale
Language:
Italian
Course Objectives
This course aims to enable the students to understand basic Quantum Mechanics and to handle the Schrödinger
Equation.
Course Content
 The behavior of quantum systems and a little of hystory.
 Postulates, principles and mathematical tools of Quantum Mechanics.
 Position and momentum: the Heisenberg’s uncertainty principle.

The dynamics: the Shrödinger equation.

The Shrödinger equation in one dimension.
 The Shrödinger equation for the harmonic oscillator.
Learning Outcomes (Dublin Descriptors)
On successful completion of this course, the student should
 • have acquired the basic notions of Quantum Mechanics,
• be able to handle the Shrödinger Equation in simple cases,
• be able of reading and understanding more advanced topics in Quantum Mechanics,
• have acquired a deeper comprehension of the physical world,
• be able to face novel problems with a similar mathematical modeling.
Prerequisites and Learning Activities
Classical Mechanics, Elementary Probability Theory, Linear Algebra.
Teaching Methods
Language: Italian
Lectures and exercises.
Assessment Methods and Criteria
Written and, if necessary, oral examination.
Textbooks
 Lev D. Landau e Evgenij M. Lifšits, , Fisica Teorica 3  Meccanica quantistica Teoria non relativistica. Editori Riuniti, University Press. 2010.
 P. A. M. Dirac, I princ??pi della Meccanica Quantistica. Bollati Boringhieri. 1990.
 K. Konishi e G. Paffuti, Meccanica Quantistica: nuova introduzione. Pisa University Press. 2005. http://people.disim.univaq.it/?serva/teaching/teaching.html
Online Teaching Resources
Course page updates
This course page is available (with possible updates) also for the following academic years:
Course information last updated on: 08 ottobre 2018, 15:03