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