| Code |
14909
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| Year |
3
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| Semester |
S1
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| ECTS Credits |
6
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| Workload |
TP(60H)
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| Scientific area |
Physics
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Entry requirements |
None
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Learning outcomes |
The main objective of this course is to provide the student with some additional knowledge of non-relativistic quantum mechanics, namely about angular momentum, approximation methods and identical particles. A brief introduction to relativistic quantum mechanics is also given.
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Syllabus |
1 Spin and angular momentum
1.1 Spin and total angular momentum
1.2 Addition of angular momenta
1.3 Clebsch-Gordan coefficients
2 Approximate Methods
2.1 WKB Method
2.2 Variational Method
2.3 Time-independent perturbative methods
2.3.1 Perturbative methods at non-degenerate and degenerate levels
2.3.2 Fine and hyperfine structure: Zeeman effect and Stark effect
2.4 Time-dependent perturbative methods
2.4.1 Fermi's golden rule
3 Systems of identical particles
3.1 Symmetrization and anti-symmetrization operators
3.2 Bosons and fermions - symmetrization postulate
3.3 Pauli exclusion principle. Slater determinant
4 Introduction to relativistic quantum mechanics
4.1 Klein-Gordon equation
4.2 Dirac equation
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Main Bibliography |
1. Bicudo P et al (2013). Mecânica Quântica, 2.a ed. Lisboa: IST Press
2. Cohen-Tannoudji C, Diu B and Laloë F (1977). Quantum Mechanics, vol. 2. New York: John Wiley & Sons
3. Merzbacher E (1998). Quantum Mechanics, 3rd ed. New York: John Wiley & Sons
4. Messiah A (1967). Quantum Mechanics, vol. 2. Amsterdam: North-Holland
5. Schiff, LI (1968). Quantum Mechanics, 3rd ed. New York: McGraw-Hill
6. Shankar R (2011). Principles of Quantum Mechanics, 2nd ed. New York and London: Plenum Press
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Teaching Methodologies and Assessment Criteria |
Standard lectures, plus resolution of exercices.
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Language |
Portuguese. Tutorial support is available in English.
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