PHYSICS
PAPER – II
1. Quantum Mechanics:
Wave-particle dualitiy;
Schroedinger equation and expectation values; Uncertainty principle; Solutions
of the one-dimensional Schroedinger equation for a free particle (Gaussian
wave-packet), particle in a box, particle in a finite well, linear harmonic
oscillator; Reflection and transmission by a step potential and by a
rectangular barrier; Particle in a three dimensional box, density of states,
free electron theory of metals; Angular momentum; Hydrogen atom; Spin half
particles, properties of Pauli spin matrices.
2. Atomic and Molecular
Physics:
Stern-Gerlach
experiment, electron spin, fine structure of hydrogen atom; L-S coupling, J-J
coupling; Spectroscopic notation of atomic states; Zeeman effect; FrankCondon
principle and applications; Elementary theory of rotational, vibratonal and
electronic spectra of diatomic molecules; Raman effect and molecular structure;
Laser Raman spectroscopy; Importance of neutral hydrogen atom, molecular
hydrogen and molecular hydrogen ion in astronomy; Fluorescence and
Phosphorescence; Elementary theory and applications of NMR and EPR; Elementary
ideas about Lamb shift and its significance.
3. Nuclear and Particle
Physics:
Basic nuclear
properties-size, binding energy, angular momentum, parity, magnetic moment;
Semi-empirical mass formula and applications, mass parabolas; Ground state of
deuteron, magnetic moment and non-central forces; Meson theory of nuclear
forces; Salient features of nuclear forces; Shell model of the nucleus - successes
and limitations; Violation of parity in beta decay; Gamma decay and internal
conversion; Elementary ideas about Mossbauer spectroscopy; Q-value of nuclear
reactions; Nuclear fission and fusion, energy production in stars; Nuclear
reactors.
Classification of
elementary particles and their interactions; Conservation laws; Quark structure
of hadrons; Field quanta of electroweak and strong interactions; Elementary
ideas about unification of forces; Physics of neutrinos.
4. Solid State
Crystalline and
amorphous structure of matter; Different crystal systems, space groups; Methods
of determination of crystal structure; X-ray diffraction, scanning and
transmission electron microscopies; Band theory of solids - conductors,
insulators and semiconductors; Thermal properties of solids, specific heat,
Debye theory; Magnetism: dia, para and ferromagnetism; Elements of
superconductivity, Meissner effect, Josephson junctions and applications;
Elementary ideas about high temperature superconductivity.
Intrinsic and extrinsic
semiconductors; p-n-p and n-p-n transistors; Amplifiers and oscillators;
Op-amps; FET, JFET and MOSFET; Digital electronics-Boolean identities, De Morgan’s
laws, logic gates and truth tables; Simple logic circuits; Thermistors, solar
cells; Fundamentals of microprocessors and digital computers.
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