Date of Award
Union College Only
Bachelor of Science
mechanics, developed, quantum, hilbert, neumann
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.
Bonventre, Richard J., "An Introduction to the mathematical formalization of quantum mechanics" (2008). Honors Theses. 1445.