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

• 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 

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

• 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 

Lecture material in Finnish in the TIM system