Tutorials

Subsequently you can find a list of tutorials covering a selection of the basic functionality of GTPack. More examples can be found within our book: Group Theory in Solid State Physics and Photonics: Problem Solving with Mathematica.

GTPack basics

• Install GTPack
• Standard representations – O(3), SU(2), SU(2)xS
• Handling of symmetry elements: multiplication, symbols, matrices, etc.

Groups and representation theory

• Installation of point groups
• Installation of point groups and character tables
• Installation of double groups
• Representation matrices and projection operators
• Working with characters and irreducible representations

Angular Momentum

• Angular momentum operations

Auxiliary functions

• Working with quaternions

Crystal field theory

• Crystal Field Theory: Stevens operators and Ho/Pt(111)
• mSASS part 1 – d¹ configuration in an octahedral field
• mSASS part 2 – the d¹ configuration in an octahedral field with spin-orbit coupling

Crystal structure

• Working with crystal structures

Electronic structure

• Tight-Binding electronic structure of Graphene

Landau theory

• Landau theory for ferroelectricity