Axiomatic quantum mechanics: Necessity and benefits for the physics studies

TL;DR

This paper advocates for an axiomatic approach to quantum mechanics, highlighting its importance for clearer understanding and better teaching, contrasting with traditional textbook methods.

Contribution

It emphasizes the necessity and benefits of adopting an axiomatic framework in quantum mechanics education and research.

Findings

Axiomatic approach enhances conceptual clarity

Current textbooks often omit axiomatic foundations

Axiomatic methods align with modern research needs

Abstract

The ongoing progress in quantum theory emphasizes the crucial role of the very basic principles of quantum theory. However, this is not properly followed in teaching quantum mechanics on the graduate and undergraduate levels of physics studies. The existing textbooks typically avoid the axiomatic presentation of the theory. We emphasize usefulness of the systematic, axiomatic approach to the basics of quantum theory as well as its importance in the light of the modern scientific-research context.