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Quantum Mechanics I

Code 14905
Year 2
Semester S2
ECTS Credits 6
Workload TP(60H)
Scientific area Physics
Entry requirements None
Learning outcomes The objective of this CU is that students acquire theoretical and practical knowledge of quantum physics. A student completing this CU should be able to identify, interpret and analyze elementary physical situations found in quantum physics. In addition, the student will learn skills necessary to tackle common problems in this subject.
Syllabus 1) The crisis in classical physics and the origins of quantum physics
2) The Schrödinger equation
- Wave equation and superposition principle
- Probabilistic interpretation of the wavefunction
- Uncertainty principle
3) Quantum mechanics formalism
- Dirac notation
- Observables
- Eigenfunctions and eigenvalues
- Time evolution: Heisenberg and Schrödinger representations
4) Quantum mechanics postulates
5) Some solutions of the Schrödinger equation
- Square potential well
- Step and barrier potentials
- Tunneling effect
- Harmonic oscillator
6) Hydrogen atom
- Schrödinger's equation in 3 dimensions
- Radial equation solutions
- Orbital angular momentum quantization
- Quantum numbers and degeneracy
Main Bibliography Nouredine Zettili - Quantum Mechanics, concepts and applications, 2nd edition (2009) Wiley
Teaching Methodologies and Assessment Criteria This one-semester course consists of 60 hours of contact with the teaching team, 100 hours of autonomous work and 8 hours for evaluation (total: 168 hours). The course is structured with practical classes (TP): exposition of the subjects of the course, presentation of small practical examples and computational simulations, application of theoretical concepts to solve practical problems. The teaching-learning classification (CEA) consists of homework (TPC, rated from 0-20, with a weight of 65% of the aforementioned classification) and a written test at the end of the semester (TI, rated from 0-20, with a weight of 35% of the aforementioned classification). Thus, the CEA score has the following formula: CEA = 0.65 x TPC + 0.35 x TI All students are admitted to the exam
Language Portuguese. Tutorial support is available in English.
Last updated on: 2025-03-13

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