6

THE ANATOMY AND PHYSIOLOGY OF AN EQUATION

Politics is for the present, but an equation is for eternity.

Albert Einstein

Photo courtesy of Lienhard Schulz.

In This Chapter

6.1 Introduction

6.2 The Schrödinger Wave Equation

6.3 The Schrödinger Equation for a Free Particle

6.4 Schrödinger Equation for a Particle in a Box

6.5 A Particle in a Three-Dimensional Box

6.6 Harmonic Oscillator

6.7 Understanding the Wave Function of a Harmonic Oscillator

6.8 Comparing Quantum Mechanical Oscillator with Classical Oscillator

6.9 Living in the Quantum World

6.10 Summary

6.11 Additional Problems

6.1 INTRODUCTION

As described in Chapter 5, a theory bases itself on a minimum number of assumptions from which other empirical principles and laws can be derived that may have previously been proposed to explain the experimental results and observations. Equations, ...