Introduction to Quantum Mechanics
Eduardo J. S. Villase\~nor
TL;DR
This paper provides a concise introduction to Quantum Mechanics tailored for mathematicians, focusing on algebraic approaches and the Hilbert space representation.
Contribution
It offers an accessible overview emphasizing algebraic structures in Quantum Mechanics, following Segal's approach, for an audience of mathematicians.
Findings
Highlights algebraic formulations of Quantum Mechanics
Discusses the Hilbert space representation in detail
Provides insights suitable for mathematicians learning quantum theory
Abstract
The purpose of this contribution is to give a very brief introduction to Quantum Mechanics for an audience of mathematicians. I will follow Segal's approach to Quantum Mechanics paying special attention to algebraic issues. The usual representation of Quantum Mechanics on Hilbert spaces is also discussed.
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