Mechanics: Classical and Quantum explains the principles of quantum mechanics via the medium of analytical mechanics. The book describes Schrodinger's formulation, the Hamilton-Jacobi equation, and the Lagrangian formulation. The author discusses the Harmonic Oscillator, the generalized coordinates, velocities, as well as the application of the Lagrangian formulation to systems that are partially or entirely electromagnetic in character under certain conditions. The book examines waves on a string under tension, the isothermal cavity radiation, and the Rayleigh-Jeans result pertaining to the enumeration of electromagnetic modes. Other topics include Planck's quantum hypothesis and Bohr's explanation of the hydrogen spectrum. The book describes the two branches of quantum theory, namely. matrix mechanics ,and wave mechanics; it also covers other topics such as waves, wave packets and the Schrodinger equation. The book cites some applications of the time-independent Schrodinger equation; the author then analyzes the separation of center-of mass-motion from relative motion relating to the hydrogen atom. Nuclear physicists, scientists, and academicians in the field of nuclear physics or quantum mechanics will find this book highly valuable.