Download BCK0103-15 Quantum physics (3-0-4) - nuvem

BCK0103-15 Quantum physics (3-0-4)
General goals:
The main goal of this course is to present to the student the main concepts of the quantum
theory, with the perspective of comprehending the basic phenomena which originate at the
atomic scale, their effects and technological applications.
Specific goals:
After taking this course the student will have acquired the knowledge, intuition and
mathematical skills to solve problems involving:
1.
Black-body radiation, photoelectric effect and Compton scattering.
2.
Atomic models and energy levels based on the quantum theory.
3.
Heisenberg’s uncertainty principle.
4.
Wave-particle duality.
5.
Schrödinger’s equation.
6.
Solution of Schrödinger’s equation for simple potentials and their consequences.
7.
Solution of Schrödinger’s equation for the hydrogen atom.
8.
Quantum numbers and energy levels of the atomic structure.
Spin, the Pauli exclusion principle and selection rules.
Syllabus:
Experimental bases of quantum mechanics. Quantization of energy and angular momentum.
The Bohr model and the hydrogen atom. Wave-particle duality. Heisenberg’s uncertainty
princple. Schrödinger’s equation: wave-function, solution for simple one-dimensional
potentials. Tunneling. Solution of Schrödinger’s equation for the hydrogen atom. Quantum
numbers and energy levels. Spin and the Pauli exclusion principle.
Program:
Week 1: Introduction to the course. Experimental evidences of the quantum theory. Blackbody radiation. Photoelectric effect. Compton scattering.
Week 2: Atomic spectra. Bohr’s model. Experimental verification of quantum mechanics.
Week 3: Review of wave phenomena. Wave-particle duality.
Week 4: Wave-function. Probabilistic interoperation of quantum mechanics.
Week 5: Heisenberg’s uncertainty principle and its consequences.
Week 6: Matter waves and Schrödinger’s equation. Exam.
Week 7: Simple potentials: Infinite square well.
Week 8: Simple potentials: finite square well.
Week 9: Simple potentials: quantum harmonic oscillator. Mean values of observables.
Week 10: Simple potentials: step function. Reflection and transmission of waves. Tunneling.
Week 11: Schrödinger’s equation in three dimensions. Solution of the hydrogen atom.
Quantum numbers and energy levels.
Week 12: The hydrogen atom (continued): orbitals, spin and the Pauli exclusion principle. Final
exams
Grading:
The professors assigned to this course, together with the course coordinator, will define the
grading criteria based on the evaluation system of the pedagogical project.
Pedagogical strategies:
The professors assigned to this course will, together with the course coordinator, define the
best pedagogical strategies for the course.
Prerequisites:
BIK0102-15 - The structure of matter, BCJ0204-15 - Mechanical phenomena, BCJ0205-15 Thermal phenomena, BCJ0203 - 15 - Electromagnetic phenomena.
Required texts:



P. A. Tipler, Physics for scientists and engineers. W. H. Freeman and Company (2004).
D. Halliday, R. Resnick and J. Walker, Fundamentals of physics. Wiley (2008).
3. R. A. Serway , J. W. Jewett, Physics for scientists and engineers. Brooks-Cole (2013).
Additional texts:


R. P. Feynman, R. B. Leighton and M. Sands, The Feynman lectures on physics. AddisonWesley (1977).
D. C. Giancoli, Physics: principles with applications. Addison-Wesley (2004).

R. Freedman, H. D. Young, University Physics, Benjamin-Cummings Pub Co (2004).