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

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## 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

## Additional information

Nanotieteiden koulutusohjelmaan valituille opiskelijoille opintojakson Moderni fysiikka A laboratoriotyöt eivät ole pakollisia. Ilman laboratoriotöitä opintojakson laajuus on 5 op.

## 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 derivativeIn 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
- Harris, Modern Physics (additional reading)

## Completion methods

### Method 1

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### Method 2

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### Method 4

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**Parts of the completion methods**

### Participation in teaching (2.5 cr)

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#### Teaching

##### 9/5–10/24/2023 Lectures

### Exam (2.5 cr)

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##### 10/27–10/27/2023 Final exam

##### 11/17–11/17/2023 Final exam

### Participation in teaching (1 cr)

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##### 9/4–12/20/2023 Laboratory work

### Exam (4.5 cr)

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##### 10/27–10/27/2023 Exam

##### 11/17–11/17/2023 Exam

##### 2/16–2/16/2024 Exam

##### 4/12–4/12/2024 Exam

### Participation in teaching (0.5 cr)

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