ABSTRACT

Students are naturally drawn to quantum science by the intriguing behaviors of small particles. However, they can also be intimidated by the lengthy and complicated treatment found in the classroom. Understanding Quantum Science: A Concise Primer for Students of Chemistry, Biochemistry, and Physics is a highly accessible book that offers students an opportunity to grasp the most fascinating of quantum topics, without the intimidation. To be sure, math is necessary, but it is introduced as needed and kept concise. The emphasis is on the science: a certain differential equation can be solved, and when it is, we find the energies that hydrogen atom electrons are allowed to have. Each concept is developed in this manner, keeping focus on how and why it arises, and on the intriguing consequences.

This book provides a brief tour of some of the wonders of quantum science. But it is more than that, it is designed to be the most concise tour possible that truly explains how these wonders arise so that you can develop a working understanding of quantum concepts. If your goal is loftier and you wish to become a quantum specialist, the conceptual groundwork presented here, along with rationalization of the mathematics required, will position you well for higher level classes.

part |26 pages

T‌he Basics

chapter 1|2 pages

Introducing Quantum Mechanics

chapter 2|6 pages

The Schrödinger Equation

chapter 3|3 pages

Deriving the Schrödinger Equation

chapter 5|4 pages

Separation of Variables

part |31 pages

One-Dimensional Potentials

part |14 pages

Approximation Methods

chapter 12|5 pages

Time-Dependent Perturbation Theory (TDPT)

chapter 13|2 pages

Variational Method

part |30 pages

Three-Dimensional Space: Atoms and Molecules

chapter 14|7 pages

Generalization to 3D

chapter 15|7 pages

Angular Momentum

chapter 16|7 pages

>H-Atom

Solving the Radial TISE