Paper-II
Section-A
1.
Quantum Mechanics I
Wave-particle dualitiy.
Schroedinger equation and expectation values. Uncertainty principle. Solutions
of the one-dimensional Schroedinger equation free particle (Gaussian
wave-packet),
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particle in a box, particle in a finite well, linear harmonic
oscillator. Reflection and transmission by a potential step and by a rectangular
barrier. Use of WKB formula for the life-time calcuation in the alpha-decay
problem.
2.
Quantum Mechanics II & Atomic Physics
(a)
Quantum Mechanics II
Particle in a three dimensional
box, density of states, free electron theory of metals. The angular meomentum
problem. The hydrogen atom. The spin half problem and properties of Pauli spin
matrices.
(b)
Atomic Physics
Stern-Gerlack experiment, electron
spin, fine structure of hydrogen atom. L-S coupling, J-J coupling. Spectroscopic
notation of atomic states. Zeeman effect. Frank-Condon principle and
applications.
3.
Molecular Physics
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. Elementary ideas
about Lamb shift and its significance.
Section-B
4.
Nuclear Physics
Basic nuclear properties-size,
binding energy, angular momentum, parity, magnetic moment. Semi-empirical mass
formula and applications. Mass parabolas. Ground state of a deuteron magnetic
moment and non-central forces. Meson theory of nuclear forces. Salient features
of nuclear forces. Shell model of the nucleus-success 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.
5.
Particle Physics & Solid State Physics
(a)
Particle Physics
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.
(b)
Solid State Physics
Cubic crystal structure. Band
theory of solids- conductors, insulators and semiconductors. Elements of
superconductivity, Meissner effect, Josephson junctions and applications.
Elementary ideas about high temperature superconductivity.
6.
Electronics
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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