Front Matter Front Matter - Guidelines and Assessment Modes REVISED Course Time Table (8 Sept 2017) - TA contacts and consultation hours and Class Times Course Time Table - TA contacts and consultation hours and Class Times List of Books Lecture Notes Chapter 0 - Overview [Why learning QM and Where we are going] Chapter I Part 1 - Appreciating Planck's work on Thermal Radiation Chapter I Part 1 - corrected one typo Chapter I Part 2 - Einstein's model of solid, Photoelectric effect, Compton scattering - Particle Nature of Light Chapter I Part 3 - Two-slit experiments using light reveal key ideas of microscopic world Chapter I Part 4 - Wave nature of particle, two-slit experiments using electrons revealed the need of wave description, wavefunction and its interpretation Chapter II Part 1 - The Wave Function and the Wave Equation (What to expect of the wave function based on physics)[Updated] Chapter II Part 2 - Wave description leads to the Uncertainty Relation via the mathematics of waves Chapter II Part 3 (Preliminary Version) - Getting to the Wave Equation (What does a wave equation do and what to expect of a free particle?) Chapter II Part 4 - The Time-dependent Schrodinger Equation (1D, 2D, 3D forms) Chapter III - Solving Time-dependent Schrodinger Equation (How far can we go for U=U(x) only and how to solve initial value problems?) Chapter IV Part 1 - Essential Mathematics to Move on - Operators, Linear Operators, Ordering of Operators, Eigenvalue Problems Chapter IV Part 2 - TISE is an Eigenvalue Problem and a Recipe to write down the Hamiltonian Chapter IV Part 3 (Lead Sheets) - A cultural running through of Newtonian, Lagrangian and Hamiltonian Mechanics Chapter IV Part 3a - A quick run through on Classical Mechanics - Newtonian Mechanics Chapter IV Part 3 - Animations in powerpoint pages Chapter IV Part 3B - A run quick through classical Mechanics - Lagrangian and Hamiltonian Mechanics Chapter IV Part 4 - Dirac did QM by imposing commutation relation (a brief introduction) and How to quantize EM fields conceptually Chapter IV Part 5 - QM operators constructed systematically and Measurement Postulates Intermission Chapter -- Review on Concepts and A summary for self-study Chapter V Part 1 - Particle-in-a-1D-Box Problem - Standard (Baby Level) Treatment and much more QM to learn from it Lead Sheet 1 - Quantum Physics and Quantum Mechanics in Particle-in-a-box problem Chapter V Part 2 - Quantum confinement, curly functions have higher KE, think computationally, symmetry of U(x) matters, bound states Chapter V Part 3 - Orthogonality and other properties of eigenfunctions Lead Sheet 2 - Expectational value - Uncertainty - Evaluating probabilities of different outcomes Chapter V Part 4 - Expectation Values and Uncertainty - What are they operationally and conceptually? Chapter V Part 5 - Coefficients in expansion give probabilities of outcomes Chapter V Part 6 - Stationary states - time evolution of expectation value - boundary condition for slope Chapter VI Part 1 - 1D Finite Square Well Chapter VI Part 2 - 1D Harmonic Oscillator - The problem and Key Features of Solutions Chapter VI Appendix A - Series solutions to oscillator TISE and Hermite polynomials Chapter VI Part 3 (OPTIONAL) - Harmonic Oscillator - Operator Method Chapter VII - The Schrodinger Equation in High Dimensions and Key Features Chapter VIII Part 1 - Spherically Symmetric Problems (Spherical Coordinates, TISE, Separation of Variables and Spherical Harmonics) Chapter VIII Appendix A - The theta equation - Legendre Polynomials - Associated LP - Spherical Harmonics Chapter VIII Part 2 - General energy eigenvalues, the angular part solutions and orbital angular momentum Chapter VIII Part 3 - 3D Rigid Rotor and Summary Chapter IX Part 1 - Hydrogen Atom - Atomic Orbitals - Probability Density - Radial distribution function Chapter IX Supplementary Figures - Figures in Part 1 Appendix (Optional) - Solutions to Radial Equation and Key Features of H-atom Results Chapter IX Part 2 - Hydrogen Atom - Bohr model versus QM Chapter X Part 1 - More on Operators - Hermitian Operators Chapter X Part 2 - General Uncertainty Relation between two QM operators Chapter X Part 3 (Complete) - General QM Angular Momentum Eigenvalue Problems - Operator Method Chapter X Part 4 - Postulates of Quantum Mechanics (taken from three books) Chapter XI Part 1 - Angular Momentum - Magnetic Dipole Moment - Inhomogeneous B-field - Stern Gerlach experiment Chapter XI Part 2 - Electron Spin Angular Momentum - spin-half particle - Matrix representation of spin AM operators Chapter XI Part 3 - Spin is the best playground to learn QM Chapter XI Part 4 (Revised) - Learn Math Structure of QM from Spin Chapter XI Part 5 - QM TISE and Eigenvalue Problems are big matrix problems
