# FYSA2001 Modern Physics, part A (5–6 cr)

Study level:
Intermediate studies
0-5
Language:
Finnish
Responsible organisation:
Department of Physics
Curriculum periods:
2020-2021, 2021-2022, 2022-2023

## Description

• Limitatins of classical physics

• Particle-like properties of electromagnetic radiation

• Wave-like properties of particles

• Wave-particle dualism

• Schrödinger equation

• Structure and spectrum of atoms

• Hydrogen atom

• Many-electron atoms

• Molecules

• Statistical physics

• Solid-state physics

## Learning outcomes

After completing the study unit the student can

• describe the main experimental evidence of wave-particle dualism

• describe the photon and its main properties

• define the de Broglien wavelength and apply the uncertainty pronciple

• explain properties of the hydrogen atom based on the Schrödinger equation

• describe the quantization of energy and angular momentum and electron spin

• apply the Pauli exclusion principle to atoms and molecules

• describe the types of bonding, vibrations and rotations of molecules

• explain the Bose-Einstein and Ferm-Dirac statistics and their consequences

• describe the crystal structure, crystal vibrations and electron structure of simple solids

• descibe the electron structure of a crystalline solid

• explain why some materials are metals, insulators, semiconductors or superconductors

• solve simple problems starting from given basic equations

Nanotieteiden koulutusohjelmassa fysiikan perusopintokokonaisuuteen sivuaineena sisällytettynä opintojakso suoritetaan 5 op laajuisena ilman laboratoriotöitä.

## Description of prerequisites

• FYSP1010 Introduction to Mechanics
- Basic concepts like energy, momentuma and angular momentum

• FYSP1020 Waves and Thermodynamics
- Harmonic oscillations

• FYSP1040 Introduction to Theory of Electricity
- Point charge electric field

• FYSP1050 Introduction to Electromagnetism
- Magnetic field
- Electromagnetic waves

• MATP211-213 Calculus 1-3, especially:
- Properties of elementary functions
- Derivative and integral
- Finding the maximum of a given function

• MATA114 Differential equations, especially:
- Concept of differential equation
- Basic principles of solving an ordinary differential equation
- Actual solving of differential equations is not required, known solutions to cases appearing in the course are given in course materials and textbook

• MATA181 Vector calculus 1 (can be done during the same period), especially:
- Functions of more than one variable
- The concept of partial derivative

• In addition, some basic properties of complex numbers are needed, see textbook

## Study materials

Lecture material in Finnish in the TIM system

## Literature

• Kenneth S. Krane. Modern Physics. 3. painos, Wiley, 2012. ISBN: 978-1-118-32464-6.
• Kenneth S. Krane. Modern Physics. 4. painos, 2019, Wiley, ISBN: 978-1-119-49546-8

## Completion methods

### Method 1

Description:
Ajankohta syksyn 1. periodi.
Time of teaching:
Period 1
Select all marked parts

### Method 2

Description:
Nanotieteiden koulutusohjelmassa fysiikan perusopintokokonaisuuteen sivuaineena sisällytettynä opintojakso suoritetaan 5 op laajuisena ilman laboratoriotöitä. Ajankohta syksyn 1. periodi.
Time of teaching:
Period 1
Select all marked parts

### Method 3

Description:
This method is intended for students for whom method 1 or 2 is not possible for specific reasons (e.g. language, living elsewhere). The course lecturer must be contacted before enrolling to the course.
Select all marked parts

### Method 4

Description:
This method is intended for students for whom method 1 or 2 is not possible for specific reasons (e.g. language, living elsewhere). The course lecturer must be contacted before enrolling to the course.
Select all marked parts
Parts of the completion methods
x
x

### Participation in teaching (2.5 cr)

Type:
Participation in teaching
0-5
Language:
Finnish

x
x

Type:
Exam
0-5
Language:
Finnish

x
x

### Participation in teaching (1 cr)

Type:
Participation in teaching
Pass - fail
Language:
Finnish

x
x

Type:
Exam
0-5
Language:
Finnish

x
x

### Participation in teaching (0.5 cr)

Type:
Participation in teaching