Modern Physics

Code:

FIS2017

Acronym:

FIS2017

Keywords
Classification	Keyword
OFICIAL	Physics

Instance: 2024/2025 - 2S

Active?	Yes
Responsible unit:	Department of Physics and Astronomy
Course/CS Responsible:	Bachelor in Engineering Physics

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
L:B	0	Official Study Plan	3	-	6	48	162
L:CC	0	study plan from 2021/22	2	-	6	48	162
			3
L:EF	98	study plan from 2021/22	2	-	6	48	162
L:F	68	Official Study Plan	2	-	6	48	162
L:G	0	study plan from 2017/18	2	-	6	48	162
			3
L:M	3	Official Study Plan	2	-	6	48	162
			3
L:MA	0	Official Study Plan	3	-	6	48	162
L:Q	2	study plan from 2016/17	3	-	6	48	162

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. TTo introduce Relativity. o 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

1. Special Relativity
1.1 Principle of Relativity
1.2 Structure of space-time
1.3 Relativistic Kinematics  

2. Quantum Physics
 2.1 Solving problems in pre-quantic physics
 2.2 Exact resolution of the Schrödinger equation for various potentials.

3 . Understand  basic Nuclear Physics.

Working method

Presencial

Pre-requirements (prior knowledge) and co-requirements (common knowledge)

Program

1. Special Relativity
1.1  Principle of Relativity (Newtonian Mechanics, Michelson-Morley experiment, Lorentz transformations and invariance of Maxwell's equations). 
1.2   Structure of space-time (Inertial observer, space-time diagrams, relativistic interval, time dilation, space contraction, law of composition of velocities.                                                                             1.3  Relativistic Kinematics (4-vectors, 4-velocity, 4-momentum of a mass and a photon, conservation of 4-momentum in collisions).
2.Quentum Physics
2.1 Semi-quantum formulation. The quantum theory of radiation. Blackbody radiation (review). Photoelectric effect. Compton effect. Production and annihilation of pairs. X-ray
2.2Atomic models. Introduction to the atom. Rutherford model (cross section of diffusion of particles by nuclei). Bohr model (postulated; atomic spectra). Frank-Hertz experiment.
 2.3 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.
2.4 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.

3. Topics in Nuclear Physics

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 of 60% of TP classes is mandatory for all students,
 except those who attended in 2023/24 and request it, 
by February 25th.

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
   - Miguel Costa