In this monograph, group-theoretical approaches are used to build a system of hadrons and qualitatively describe the properties of chemical compounds. This serves as a complement to numerically and approximately solve the many-electron Schrödinger equation, in order to understand the behavior of chemical elements. Besides general theory, specific results are compared with experimentally measured chemical properties.

Content:
Symmetries of a quantum system

Observables of a quantum system

Lie groups and Lie algebras

The principles of particle classification

The symmetry group of chemical elements

Classification and chemical properties of elements

Appendix A. Fock’s energy spectrum of the hydrogen atom

Appendix B. Representations of some groups