This Syllabus is made for 50 lectures. Instructors can leave out portions of their choice to fit the course in one semester. Origin of quantum theory and related experiments, Wave-Particle duality for photons and material particles, Wave function and its born interpretation, Relation with measurement of dynamical variables, d-function as definite position and plane wave as definite momentum wave function, Wavepacket as superposition of d-functions and of plane waves, Position-momentum Uncertainty Principle, Gaussian wave packets, Applicability of classical physics on the basis of uncertainty product. [9] Operator formulation, commuting operators, simultaneous eigenfunctions, degenerate eigenfunctions. [3] Schrodinger equation for time evolution, Stationary states, Spread of free particle wavepackets, Time energy uncertainty, Natural line width of spectral lines. Probability currents and their relation with the flux in beams of particles. [4] Square well potentials, Practical examples like metal-vacuum interface, Contact potential between metals, Bilayer and sandwiched thin film etc., Bound states in deep potential well and finite potential well, Double well potentials and examples like Ammonia inversion, Delta function potentials and examples like electron sharing in covalent bonds. Kronig Penny model of 1-D crystals and formation of energy bands. [9] Linear harmonic oscillator, outline of getting stationary states, Molecular vibrations and spectroscopy. [3] Barrier Tunneling, Examples of a-decay, nuclear fission, fusion in the Sun, Cold emission, Scanning tunneling microscope, principle of tunnel diode etc. [5] Angular momentum operators, eigenvalues and eigenfunctions, Spin angular momentum, hydrogen atom using Coulomb interaction, structure of Ha line due to l-s interaction (derivation not needed). [4] Identical particles, indistinguishibility in quantum mechanics, Bosons and Fermions, Pauli Exclusion Principle, Simple examples of filling up of quantum states by classical particles, Bosons and Fermions. [4] Statistics of noninteracting gas, Density of states from particle in a box stationary states, Occupation probability in M-B, B-E, F-D statistics, Distribution functions, Criteria for applicability of classical statistics, Derivation of U = 3NkT/2 for classical gas, Fermi gas, Fermi energy, Electronic contribution to specific heat of metals. [6] Energy bands in conductors, insulators and semi conductors, modifications at metal-metal contact, p-n junction, details of tunnel diode. [3]