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Quantum MechanicsII
| Code: | FIS3012 | Acronym: | FIS3012 |
| Keywords | |
|---|---|
| Classification | Keyword |
| OFICIAL | Physics |
Instance: 2018/2019 - 2S
| Active? | Yes |
| Responsible unit: | Department of Physics and Astronomy |
| Course/CS Responsible: | Bachelor in Physics |
Cycles of Study/Courses
| Acronym | No. of Students | Study Plan | Curricular Years | Credits UCN | Credits ECTS | Contact hours | Total Time |
|---|---|---|---|---|---|---|---|
| L:F | 31 | Official Study Plan | 2 | - | 6 | 49 | 162 |
| 3 |
Teaching language
Suitable for English-speaking studentsObjectives
Improving student training in Quantum Mechanics by learning methods of approximate resolution of the Schrodinger equation, study of the scattering theory, symmetries and conservation laws, identical particle systems and 2nd quantification, etc.Learning outcomes and competences
After completing this course the student should have a working knowledge of quantum concepts enabling him/her to read and comprehend research literature in fields such as Particle Physics, Condensed Matter Physics, etc.
Working method
PresencialPre-requirements (prior knowledge) and co-requirements (common knowledge)
Modern Physics, Quantum Mechanics IProgram
1. Review of QM:State space. Dirac notation. Operators and observables. Commutation relations. Complete set of compatible observables. Unitary transformations. Evolution operator, Schroedinger and Heisenberg representations.
2. Approximate methods in QM:
Time independent perturbation theory (review). Variational methods. WKB approximation. Time dependent perturbation thoery. Fermi's golden rule. Adiabatic approximation.
3. Scattering theory:
Revision of the classical case. Scattering cross section and scattering amplitude. Born approximation. Partial waves and phase shifts. Low energy approximations. Resonances.
4. Symmetries and conservation laws:
Unitary transformations. Symmetry transformations and generators. Conservation laws. Discrete symmetries. Wigner-Eckart theorem.
5. Identical particles:
Systems of identical particles. N-particles systems. Product space. Non distinguishability. Bosons and fermions. Occupation numbers. Second quantification. Symmetric and anti-symmetric wavefunctions: Slater determinants.
Time independent perturbation theory (review). Variational methods. WKB approximation. Time dependent perturbation thoery. Fermi's golden rule. Adiabatic approximation.
3. Scattering theory:
Revision of the classical case. Scattering cross section and scattering amplitude. Born approximation. Partial waves and phase shifts. Low energy approximations. Resonances.
4. Symmetries and conservation laws:
Unitary transformations. Symmetry transformations and generators. Conservation laws. Discrete symmetries. Wigner-Eckart theorem.
5. Identical particles:
Systems of identical particles. N-particles systems. Product space. Non distinguishability. Bosons and fermions. Occupation numbers. Second quantification. Symmetric and anti-symmetric wavefunctions: Slater determinants.
Mandatory literature
Griffiths David J.; Introduction to quantum mechanics. ISBN: 0-13-191175-9Cohen-Tannoudji, Claude; Diu, Bernard; Laloe, Frank; Quantum mechanics. ISBN: ISBN 0-471-16435-X Vol. 2
Baym Gordon; Lectures on quantum mechanics. ISBN: 0-8053-0667-6
Sakurai J. J. 1933-1982; Modern quantum mechanics. ISBN: 0-201-53929-2
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 examAssessment Components
| designation | Weight (%) |
|---|---|
| Exame | 100,00 |
| Total: | 100,00 |
Amount of time allocated to each course unit
| designation | Time (hours) |
|---|---|
| Estudo autónomo | 161,00 |
| Frequência das aulas | 49,00 |
| Total: | 210,00 |
Eligibility for exams
Written tests or exam (minimum score of 10/20).Calculation formula of final grade
MAX[(T1+T2), E]* T1, T2 - Tests [grade 0-10] (T1 midterm, T2 date of final exam)
* E - final exam [grade 0-20]
Examinations or Special Assignments
According to FCUP rules.
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Page created on: 2024-10-06 at 18:30:21 | Acceptable Use Policy | Data Protection Policy | Complaint Portal
Page created on: 2024-10-06 at 18:30:21 | Acceptable Use Policy | Data Protection Policy | Complaint Portal