A simple proof of Floquet's theorem for the case of unitary evolution in quantum mechanics

TL;DR

This paper provides a straightforward, constructive proof of Floquet's theorem specifically for unitary evolution in quantum mechanics, making it accessible for educational purposes.

Contribution

It offers a simple, constructive proof of Floquet's theorem tailored for unitary quantum evolution, enhancing understanding in educational settings.

Findings

Proof is straightforward and constructive

Applicable for teaching quantum mechanics courses

Clarifies Floquet's theorem in the context of unitary evolution

Abstract

We present a constructive proof of Floquet's theorem for the special case of unitary time evolution in quantum mechanics. The proof is straightforward and suitable for study in courses on quantum mechanics.