This continuation of "Basic Mathematics for the Physical Sciences" features modular learning content suitable for self-study. Each chapter is self-contained, allowing students to choose the order and depth of their study at their own pace.
Wave Mechanics, begins with a wide-ranging introduction to the quantum revolution. It then develops Schrodinger's equation, together with the concepts of wave functions, expectation values and uncertainties. Schrodinger's equation is solved for simple model systems such as particles in boxes and simple harmonic oscillators. You will also learn how the equation can be applied to various applications including quantum dots and vibrating molecules. The concept of a wavepacket is introduced and used to describe the classical limit of quantum mechanics. Finally, the quantum processes of tunneling, barrier penetration and reflection are discussed, together with their application to nuclear fusion, alpha decay, and the scanning tunneling microscope. The mathematical techniques used and developed in this book include complex numbers, separation of variables, differential equations and eigenvalues.