Quantum MechanicsII
| Code: | FIS3012 | Acronym: | FIS3012 |
| Keywords | |
|---|---|
| Classification | Keyword |
| OFICIAL | Physics |
Instance: 2021/2022 - 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 | 34 | Official Study Plan | 2 | - | 6 | 49 | 162 |
| 3 |
Teaching language
Suitable for English-speaking studentsObjectives
Improving the student’s 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. To acquire knowledge and skills to facilitate the assimilation of results from literature in disciplines where Quantum Physics is essential: Particle Physics, Condensed Matter Physics, Quantum Optics, Astrophysics, 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 literature in fields with a strong component on Quantum Physics such as Particle Physics, Condensed Matter Physics, Quantum Optics, Astrophysics, 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.
Time independent perturbation theory (review). Variational methods. 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: Born series; diagrammatic interpretation; first Born approximation. Partial waves and phase shifts.
4. Symmetries and conservation laws:
Unitary transformations. Symmetry transformations and generators. Conservation laws. Discrete symmetries.
5. Identical particles:
N-particles systems. Product space and non-distinguishability. Occupation numbers. Bosons and fermions. Fock space. 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
Complementary Bibliography
Pedro José de Almeida Bicudo; Mecânica quântica. ISBN: 978-989-8481-54-2Teaching methods and learning activities
In theoretical lectures the topics are presented; in the classes of problems these are discussed and solved, after being made available in advance for autonomous work.
Evaluation Type
Distributed 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 | 113,00 |
| Frequência das aulas | 49,00 |
| Total: | 162,00 |
Eligibility for exams
Attending the lectures is not mandatory.
The evaluation consists of a final exam (80%) + 2 written works (20%), or just final exam (100%)
The work is composed of:
W1- Written resolution of a given series of problems, in groups of 2 to 4 elements, with discussion in class. 10% weight on final grade.
W2- Realization and delivery of a homework (problem to solve at home with delivery date). The individual resolution has a weight of 10% in the final grade. Students may choose to replace the TPC with a second type 1 group assignment.
Calculation formula of final grade
MAX[E*0.8 + W1*0.10 + W2*0.10, E]* W1, W2 - Written works
* E - Exam
Classification improvement
According to FCUP rules.Observations
Jury of the curricular unit:Eduardo Castro
João Lopes dos Santos
Miguel Costa
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