Faculty of Science

Objectives

To be acquainted with the historical background of quantum mechanics, Wave - particle description - the uncertainty principle, Born interpretations, Schroedinger equation.

Contents

Introduction : Radiation- Planck’s law, photoelectric effect , Compton effect, Stern- Gerlach experiment , Wave Nature of matter : De Broglie waves, diffraction of matter waves, expectation values, principle of superposition; Quantum mechanical operators: Three important quantum mechanical operators, eigen functions and eigen values, properties of operators, measurability of different observables at equal times, Heisenberg’s uncertainty principle, angular momentum operator, Kinetic energy, total energy, bra and ket notation Schrodinger equation, Postulates, formulation, properties of stationary states, solution of Schrodinger Equation, free particle, harmonic oscillator, particle in a box, Erenfest’s theorem, constants of motion, conservation laws

Hydrogen atom, Wave functions, hydrogen atom spectrum, degeneracy, magnetic moment, Perturbation Theory: Fundamentals