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B006536 - QUANTUM MECHANICS
Main information
Teaching Language
Learning Objectives
Course Content
Prerequisites
Teaching Methods
Type of Assessment
Course program
Suggested readings
Further information
Academic Year 2014-15
Course year
Third year - Annualità singola
Belonging Department
Physics and Astronomy
Course Type
Single education field course
Scientific Area
FIS/02 - THEORETICAL PHYSICS, MATHEMATICAL MODELS AND METHODS
Credits
12
Teaching Hours
108
Teaching Term
22/09/2014 ⇒ 12/06/2015
Attendance required
No
Type of Evaluation
Final Grade
Course Content
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Course program
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Lectureship
Teaching Language
Italian
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.
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.
Course Content (Search our library's catalogue)
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. Interactions with the electromagnetic field. Elastic-scattering theory.
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...): 300.
Contact hours for Lectures :104.
Contact hours for Lectures :104.
Type of Assessment
Written and oral exam
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.
Suggested readings
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, Lecture notes on Applications of Quantum Mechanics (in Italian).
J.J. Sakurai, Meccanica Quantistica Moderna Zanichelli
G. Nardulli, Meccanica Quantistica I, Principi, Franco Angeli.
M. Ademollo, Lecture notes on Applications of Quantum Mechanics (in Italian).
Further information
The course is held in the I and II semester.
Office hours: on demand
barducci@fi.infn.it
giachetti@fi.infn.it
Website:
Office hours: on demand
barducci@fi.infn.it
giachetti@fi.infn.it
Website: