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Quantum Mechanics II

Code 14909
Year 3
Semester S1
ECTS Credits 6
Workload TP(60H)
Scientific area Physics
Entry requirements None
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.
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
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
Language Portuguese. Tutorial support is available in English.

Course

Physics
Last updated on: 2020-07-17

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