Quantum Mechanics I
Keywords |
Classification |
Keyword |
OFICIAL |
Physics |
Instance: 2023/2024 - 1S
Cycles of Study/Courses
Teaching language
Suitable for English-speaking students
Objectives
Aquisition of knowlege and skills relating to the foundations and techniques in Quantum Mechanics
Learning outcomes and competences
- One of the learning outcomes of UC is to understand the reasoning of the MQ. At this point the postulates are presented and discussed.
- Next the mathematical formulation is studied and some application chapters(systems on 2 and 3 dimensions) and methods of approximate resolution of Scrodinger equation are developed.
- The general theory of angular momentum is also presented.
Working method
Presencial
Pre-requirements (prior knowledge) and co-requirements (common knowledge)
All courses of Mathematics and Modern Physics course
Program
- The new physics: new concepts and paradigms. The Schrodinger equation as a field equation. Position probability distributions. Principle of superposition. Measurement of momentum and energy. Operators. Uncertainty relations. Wave trains. Classical limit.
- Mathematical formulation of Quantum Mechanics. State space. Physical quantities and operators; Dirac notation. Commutation relations and uncertainty. Canonical quantization. Compatible and complementary observables. State time evolution equation.
- Application to several systems: oscillator potencial, central potencial, electromagnetic field.
- General theory of angular momentum.
- Perturbative methods: stationary perturbation theory.
Mandatory literature
Cohen-Tannoudji Claude;
Quantum mechanics. ISBN: 0-471-16433-X Vol. 1
Griffiths David J.;
Introduction to quantum mechanics. ISBN: 0-13-191175-9
Mandl F. (Franz);
Quantum mechanics. ISBN: 0-471-93155-1
Park David;
Introduction to the quantum theory. ISBN: 0-07-048481-3
Teaching methods and learning activities
In theoretical lectures the topics are presented; in the classes of problems these are discussed and solved.
Evaluation Type
Evaluation with final exam
Assessment Components
designation |
Weight (%) |
Exame |
100,00 |
Total: |
100,00 |
Amount of time allocated to each course unit
designation |
Time (hours) |
Estudo autónomo |
106,00 |
Frequência das aulas |
56,00 |
Total: |
162,00 |
Eligibility for exams
Grade of 10 (out of 20).
Calculation formula of final grade
Final exam.
Examinations or Special Assignments
Not applicable.
Internship work/project
Not applicable.
Special assessment (TE, DA, ...)
According to FCUP rules.
Classification improvement
According to FCUP rules.
Observations
júri: M. Fátima Mota e Miguel Costa