Date of Award
Bachelor of Arts (A.B.)
In this paper, we will explore some of the basic elements of the mathematical formulation of quantum mechanics. In the first section, I will list the motivations for introducing a probability model that is quite different from that of the classical probability theory, but still shares quite a few significant commonalities. Later in the paper, I will discuss the quantum probability theory in detail, while paying a brief attention to some of the axioms (by Birkhoff and von Neumann) that illustrate both the commonalities and differences between classical mechanics and quantum mechanics. This paper will end with a presentation of two theorems that form the core of quantum mechanics.
Renato Feres, Xiang Tang
Go, Keunjae, "Elements of the Mathematical Formulation of Quantum Mechanics" (2016). Senior Honors Papers / Undergraduate Theses. 1.