Date of Award

6-2008

Document Type

Union College Only

Degree Name

Bachelor of Science

Department

Mathematics

First Advisor

Alan Taylor

Language

English

Keywords

mechanics, developed, quantum, hilbert, neumann

Abstract

Early in the development of quantum mechanics, there were two competing theories; the matrix mechanics proposed by Heisenberg, and the wave mechanics developed by Schrodinger. In 1932, John von Neumann was able to unify these theories and prove their equivalence. We will discuss operators in Hilbert Space; the mathematical formalization of quantum mechanics developed by Von Neumann. We will then look at the notation developed by Paul Dirac, and use it to prove some basic theorems of quantum mechanics. We will show how these theorems apply as a general statement about Hilbert spaces.

Download
Off-Campus Download

Share

COinS