R. Shankar, Principles of Quantum Mechanics, Kluver Academic/Plenum Press
J.J. Sakurai, Meccanica Quantistica Moderna Zanichelli
G. Nardulli, Meccanica Quantistica I, Principi, Franco Angeli.
M. Ademollo, Dispense di Applicazioni di Meccanica Quantistica
Stefano Forte e Luca Rottoli, Fisica Quantistica; Zanichelli.
Learning Objectives
Knowledge acquired: Principles of Quantum Mechanics and applications.
Competence acquired: Knowledge of the principles at the basis of the microscopic phenomena.
Skills acquired (at the end of the course): : Experience in doing calculations in a Hilbert space. Solutions of partial differential equations.
Prerequisites
Courses to be used as requirements: Mathematical Analysis II, Analytical mechanics, Physics II.
Teaching Methods
Total hours of the course (including the time spent in attending lectures, seminars, private study, examinations, etc...): 360.
Contact hours for Lectures :Minimum 132.
Further information
The course is held in the I and II semester.
Type of Assessment
The exam consists of two parts, which can be taken at different times. The first is an oral exam about the three credits of special relativity. The second one deals with quantum mechanics and is, in turn, composed of a written and an oral exam. For the written exam, one has to solve two or three exercises divided into points of increasing difficulty. These exercises are of the same type as those done in class or with tutors. Students can find a complete list of previous written exams on the professors' web pages. The oral exam regards the theoretical exposition of topics (in general, two of them) covered during classes. The marks of the special relativity part and quantum mechanics are separate. The total grade is determined by averaging the two, weighted with the credits earned: 1/5 V_REL + 4/5 V_QM. The result is rounded up.
Course program
Course program
Historical introduction. Quantum Mechanics axioms. Identical particles. Bosons and fermions. Pauli principle. Elementary applications: stationary Schrodinger equation, One-dimensional cases, harmonic oscillator. Symmetries in Quantum Mechanics. Angular momentum and spin. Addition of angular momenta. Hydrogen atom. Stationary perturbation theory. Time-dependent perturbation theory. WKB approximation. Variational method. Interaction with the electromagnetic field. Elastic-scattering theory: Born approximation, partial-wave expansion.