Introduction to Classical and Quantum Harmonic Oscillators
An elementary introduction to harmonic oscillators with practically no steps omitted. Several threads run through the book, including adiabatic invariance, phase space and its discrete, incompressible and fuzzy nature, classical and quantum uncertainty principles and the Aristotelian Incline from the classical domain through the semi-classical to the quantum domain. This book is based on the works of some of the best minds of the last three hundred years, including Galileo Galilei, Sir Isaac Newton, Louis de Lagrange, Baron Jean Baptiste Joseph Fourier, Karl Friedrich Gauss, Lord Kelvin, Albert Einstein and more.