#### Date of Award

Spring 5-20-2016

#### Degree Name

Bachelor of Arts (A.B.)

#### Restricted/Unrestricted

Unrestricted

#### Abstract

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.

#### Mentor

Renato Feres, Xiang Tang

#### Recommended Citation

Go, Keunjae, "Elements of the Mathematical Formulation of Quantum Mechanics" (2016). *Senior Honors Papers / Undergraduate Theses*. 1.

https://openscholarship.wustl.edu/undergrad_etd/1