Modern Physics
Keywords |
Classification |
Keyword |
OFICIAL |
Physics |
Instance: 2024/2025 - 2S
Cycles of Study/Courses
Teaching Staff - Responsibilities
Teaching language
Portuguese
Objectives
To understand the inadequacy of classical concepts in the interpretation of some experimental results and the need for a new formulation of physics. To introduce wave mechanics, making applications to one-dimensional systems. To understand the atomic structure and atomic processes. To Study applications of quantum physics in astrophysics, condensed matter and/or optics.
Learning outcomes and competences
Solving problems in pre-quantic physics
Exact resolution of the Schrödinger equation for various potentials in one dimension
Working method
Presencial
Pre-requirements (prior knowledge) and co-requirements (common knowledge)
RECOMMENDED PREREQUISITES: Mechanics, Electromagnetism, Wave Physics, Thermal Physis and all the units of Mathematics.
Program
- Historical Introduction: Physics in the late nineteenth century
- Semi-quantum formulation. The quantum theory of radiation. Blackbody radiation (review). Photoelectric effect. Compton effect. Production and annihilation of pairs. X-ray
- Atomic models. Introduction to the atom. Rutherford model (cross section of diffusion of particles by nuclei). Bohr model (postulated; atomic spectra). Frank-Hertz experiment.
- Wave properties of matter. De Broglie hypothesis. Young slits experiments. Diffraction of electrons. Heisenberg Uncertainty Principle. Waves and wave trains. The Principle of Correspondence. Limit of validity of Newtonian physics.
- Introduction to quantum mechanics. Schrodinger equation. Born interpretation. Stationary states. Quantum numbers. Resolution of the Schrodinger equation for potential ladder (1D). Tunnel effect. Applications. Reference to one-dimensional harmonic oscillator. Reference to the Hydrogen atom. Stern-Gerlach experiment and the spin of the electron. Zeeman effect and fine structure.
Mandatory literature
Eisberg and Resnick; Quantum Physics
Krane; Modern Physics
Gasiorowicz; The Strucutre of Matter
Complementary Bibliography
Raymond A. Serway;
Modern physics. ISBN: 9780534406240
Paul A. Tipler;
Modern physics. ISBN: 1-5725-9164-1
Teaching methods and learning activities
Lectures (T). Solving the problem sheets (by the teacher and/or by students) in TP classes.
Evaluation Type
Evaluation with final exam
Assessment Components
designation |
Weight (%) |
Exame |
100,00 |
Total: |
100,00 |
Amount of time allocated to each course unit
designation |
Time (hours) |
Estudo autónomo |
114,00 |
Frequência das aulas |
48,00 |
Total: |
162,00 |
Eligibility for exams
Attendance in TP classes is required by 60%
Calculation formula of final grade
The assessment consists of normal exam and/or appeal exam.
Examinations or Special Assignments
None
Internship work/project
None
Special assessment (TE, DA, ...)
According to
Regulamento de avaliação e aproveitamento dos estudantes da FCUP.
Classification improvement
Retaking final exam according to
Regulamento de avaliação e aproveitamento dos estudantes da FCUP.
Observations
The jury of the curricular unit includes:
- M. Fátima Mota
_ Frederico Francisco
- Miguel Costa