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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 1. Bicudo P et al (2013). Mecânica Quântica. Lisboa: IST Press 2. Griffiths D (2018). Introduction to Quantum Mechanics, 3rd ed. Cambridge: Cambridge University Press 3. Greiner W (2001). Quantum Mechanics – An Introduction, 4th ed. Berlin-Heidelberg-New York: Springer 4. Phillips AC (2003). Introduction to Quantum Mechanics. New York: John Wiley & Sons 5. Gasiorowicz S (2003). Quantum Physics, 3rd ed. New York: John Wiley & Sons
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, and participation in laboratory demonstration classes. Evaluation is performed in two phases: - Continuous evaluation: 2 theoretical and practical tests throughout the semester - Final exam (with theoretical and practical parts) for admitted students. Assessment methods and criteria - 2 written exams will form 100% of the assessment grade - The duty of assiduity will be checked and will constitute a necessary condition to access the final exam if the student is present in, at least, 75% of the classes.
Language Portuguese. Tutorial support is available in English.
Last updated on: 2020-07-14

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