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Device Physics and Nanoelectronics

Introduction: Moore’s law and technology development. International Technology Roadmap for Semiconductors (ITRS); Technology and material challenges limiting Moore’s law. Contacts : Fabrication of Junction, Metal-semiconductor contacts, Schottky barrier. Contact resistance: 2-probe and 4-probe measurements; Kelvin and van der Pau structures; pn junctions: carrier transport. Equilibrium conditions, Steady state conditions, Transients and AC conditions.

Quantum Many-Body Physics

Second quantization: Fock space representation, creation and annihilation operators for bosons and fermions, representation of many-body operators. Green's functions at zero temperature: Interaction representation, Wick's theorem, Feynman diagrams. Finite temperatures: Matsubara functions, retarded and advanced Green's functions. Linear response, Kubo formula. Interacting fermions: Fermi liquid theory, Hubbard model, Heisenberg model. Electron-Phonon interaction, BCS theory of superconductivity

Atmospheric and Oceanic Instrumentation and Measurement Techniques

Instruments and Measurement Systems: Instrument Response, Measurement Quality, Signal to Noise ratio, Measurement Artifacts, Instrument Response Time, Instrumental Time Resolution, Detection Limit and Sensivity, Sources of Uncertainties, Calibration procedures. Basic statistics, concept of error and uncertainty analysis, Error analysis, probability distribution functions, regression analysis, least square fit, goodness of fit, uncertainties in the fit, propagation of error for a simple linear system.

Land – Atmosphere Interaction Dynamics

Introduction to hydrometeorology, hydrologic and bio geochemical cycles, Water vapour in atmosphere, Vertical gradients in atmosphere, Atmospheric Boundary Layer, Surface Energy balances, Sensible heat flux, Latent heat flux, heat budgets, Plant canopy interactions with the atmosphere. Evaporation, evapotranspiration and their measurements, empirical equations, potential evapotranspiration, Global carbon cycling, Leaf energy fluxes, vegetation dynamics, Canopy processes and Canopy resistance.

Ionosphere and Space Physics

Unit 1: Structure and variability of Earth's ionosphere

Introduction to neutral upper atmosphere and its interaction with solar radiation: Thermal structure of the atmosphere, Heat balance and temperature profile of thermosphere, Dissociation and diffusive separation and thermospheric composition, Exosphere, Solar radiation at the top of the atmosphere, Attenuation of solar radiation in the atmosphere, thermal effect of radiation, photochemical effects of radiation, Airglow

Polar Science

Overview of Polar Geography and Climate; History of Indian Antarctic programme; Physical
characteristics; weather and climate, ice coring in Antarctica for Paleo-environment studies,
logistics of Antarctic Science, opportunities, Antarctic governance and protection of Antarctic
environment, International linkages.
Ice characteristics and physical oceanography of polar seas; Sea ice: types, physical and
mechanical properties, heat flux, temporal and spatial distribution, melting and freezing processes,

Boundary Layer Meteorology

Introduction: definitions and background, variables, wind and flow, turbulent transports; Taylor’s hypothesis and observing techniques, boundary layer depth and structure Mathematical and conceptual tools: Turbulence and its spectrum; spectral gap; mean and turbulent parts; basic statistical methods; rules of averaging; turbulent kinetic energy; kinematic flux, eddy flux; stresses. Governing equations for turbulent flow: methodology, basic equations, simplifications and approximations, equations for mean variables in a turbulent flow.

Satellite Meteorology and Oceanography

History of satellite and radar meteorology; Orbits and navigation, Orbit perturbations, Meteorological satellite orbits, Satellite positioning, tracking, and navigation, Space-time sampling, Launch vehicles and profiles; Elements of radiative transfer - Basic quantities, Blackbody radiation, Radiative transfer equation, Gaseous absorption, Scattering, Solar radiation and surface reflection; Meteorological satellite instrumentation - Operational polar orbiting satellites, Operational geostationary satellites, Other satellite instruments, Satellite data archives; Radar - Radar basics, Convent

Air-Sea Interaction

The significance of Air-Sea Interaction; Atmospheric and Oceanic Interaction at various scales; Concept of Boundary Layer; Atmospheric Heat Budget; Variations of wind, temperature and moisture over the sea surface. Air sea temperature differences; Wind stress and resultant drag coefficient with variation to wind speed; Upper ocean boundary layer. Oceanic heat budget.

Aerosol-Cloud-Climate Interaction

Tropospheric Aerosols: Aerosols, Historical understanding of tropospheric aerosols, Contemporary understanding of tropospheric aerosols; Particle Sources and Strengths - widespread surface sources (Biogenic sources, Volcanoes, Ocean and fresh water, Crustal and Cryospheric Aerosols, Biomass burning); Spatial Sources - Gas to particle conversion (Sulfur & Nitrogern - Containing compounds, Organic and Carbonaceous Particles), Cloud as a Source of Aerosols, External Sources; Particle Size Distribution and Chemical Compositions (Polar aerosols, Background aerosols, Maritime aerosols, Remote

Planetary Geosciences

Remote Sensing techniques applicable to planetary geology; applications derived from interaction of electromagnetic radiation (X-ray, gamma-ray, visible, near-IR, mid-IR, radar) with geologic materials. Remote sensing applications formineralogy, petrology and geochemical analyses for terrestrial and extraterrestrial environments.

Solar System: major concepts, planets, satellites, asteroids, meteorites and comets; formation and internal differentiation of the planets; general features of Terrestrial and Jovian planets.