1. Introduction
Inadequacy of classical concepts, wave-particle duality, electron diffraction, notion of state vector and its probability interpretation.
2. Structure of Quantum Mechanics
Operators and observables, significance of eigenfunctions and eigenvalues, commutation relations, uncertainty principle, measurement in quantum theory.
3. Quantum Dynamics
Time-dependent Schrödinger equation, stationary states and their significance, time-independent Schrödinger equation.
4. One-dimensional Schrödinger Equation
Free-particle solution, wave packets, particle in a square well potential, transmission through a potential barrier, simple harmonic oscillator by wave equation and operator methods, charged particle in a uniform magnetic field, coherent states.
5. Spherically Symmetric Potentials
Separation of variables in spherical polar coordinates, orbital angular momentum, parity, spherical harmonics, free particle in spherical polar coordinates, square well potential, hydrogen atom.
References
Leonard I. Schiff, Quantum Mechanics, Fourth Edition, McGraw Hill Education.
Eugen Merzbacher, Quantum Mechanics, Third Edition, Wiley.
L. D. Landau and E.M. Lifshitz, Quantum Mechanics (Non-relatavistic Theory), Third Edition, Butterworth-Heinemann.
Richard P. Feynman, The Feynman Lectures on Physics (Volume 3), The New Millennium Edition, Pearson.
R. Shankar, Principles of Quantum Mechanics, Second Edition, Springer.
J. J. Sakurai, Modern Quantum Mechanics, Second Edition, Pearson.
Claude Cohen-Tannoudji, Bernard Diu, Frank Laloe, Quantum Mechanics (Volume One and Two), Wiley.
Steven Weinberg, Lectures on Quantum Mechanics, Second Edition, Cambridge University Press.
Assignments
Examinations