Modern Physics and Quantum Mechanics (MODERN PHYSICS PART)
A.Y. 2018/2019
Learning objectives
Introduction to the ideas and methods of non-relativistic quantum mechanics. This ccourse will present the motivations for quantum mechanics, its basic principles, and its main applications and developments. Its goal is to lead to an understanding of the foundations of quantum mechanics, and a working knowledge of its computational tools.
Expected learning outcomes
Undefined
Lesson period: Second semester
Assessment methods: Esame alla fine del gruppo
Assessment result: Inserire codice AF
Single course
This course cannot be attended as a single course. Please check our list of single courses to find the ones available for enrolment.
Course syllabus and organization
CORSO A
Lesson period
Second semester
FIS/02 - THEORETICAL PHYSICS, MATHEMATICAL MODELS AND METHODS - University credits: 7
Practicals: 20 hours
Lessons: 40 hours
Lessons: 40 hours
Professor:
Caracciolo Sergio
CORSO B
Responsible
Lesson period
Second semester
Course syllabus
A. The experimental foundations of quantum mechanics
1. Waves and particles
2. Superposition, interference, measurement
B. Foundations
1. State vectors
2. Operators and observables
3. Uncertainty
4. Information
C. Canonical quantization
1. The coordinate representation
2. Momentum and translations
3. Canonical commutators
D. Time evolution
1. The generator of time evolution
2. The Schrödinger equation
3. The Heisenberg picture
E. The free particle
1. Plane waves
2. Wave packets and minimum uncertanty
3. Motion of a wave packes
F. One-dimensional problems
1. The potential well and bound states
2. The potential step and scattering
3. The potential barrier and the tunnel effect
G. The harmonic oscillator
1. Creation and annihlation operators and specturm
2. Eigenfunctions in the Schrödinger approach
3. Time evolution and coherent states
1. Waves and particles
2. Superposition, interference, measurement
B. Foundations
1. State vectors
2. Operators and observables
3. Uncertainty
4. Information
C. Canonical quantization
1. The coordinate representation
2. Momentum and translations
3. Canonical commutators
D. Time evolution
1. The generator of time evolution
2. The Schrödinger equation
3. The Heisenberg picture
E. The free particle
1. Plane waves
2. Wave packets and minimum uncertanty
3. Motion of a wave packes
F. One-dimensional problems
1. The potential well and bound states
2. The potential step and scattering
3. The potential barrier and the tunnel effect
G. The harmonic oscillator
1. Creation and annihlation operators and specturm
2. Eigenfunctions in the Schrödinger approach
3. Time evolution and coherent states
FIS/02 - THEORETICAL PHYSICS, MATHEMATICAL MODELS AND METHODS - University credits: 7
Practicals: 20 hours
Lessons: 40 hours
Lessons: 40 hours
Professor:
Ferrera Giancarlo
Professor(s)