There are all important topic in each paper which are helpful to qualify CSIR-NET/GATE/JEST/IIT-JAM/SET exam.
For part A
- CLOCK PROBLEM
- CALENDER PROBLEM
- MOVING LOCOMOTIVE PROBLEM
- SERIES FORMATION
- NUMBER
- PROBABILITY AND ARRENGEMENTS
- DISTANCES AND DIRECTIONS
- PERCENTAGE
- AVERAGE
- GEOMETRY
- MENSURATION AND QUANTITATIVE COMPARISONS
- DATA INTERPRETATION
- OBSERVATIONAL ABILITY
- LOGICAL PUZZLES
- MONETARY PROBLEM
Mathematical Method of Physics
- Matrices
- Vector algebra and vector calculus
- Differential equations
- Special functions
- Fourier series and fourier transforms
- Laplace transforms
- Random variables
- Complex analysis
- Dimension analysis
- Partial differential equations
- Root of functions
- Interpolation and extrapolation
- Integration by trapezoid and simpson’s rule
- First order differential equations( numerical method)
- Least square curve fitting
- Green functions
Classical Mechanics
- Two body Collisions - scattering in laboratory and Centre of mass frames
- Generalized coordinates, Conservation laws and cyclic coordinates
- Lagrangian formalism and equations of motions
- Hamiltonian formalism and equations of motions
- Lagrangian to Hamiltonian and vise-versa
- Small oscillations, normal modes, and frequency, Stability analysis
- Special theory of relativity, Lorentz transformations & relativistic kinematics
- Poisson brackets
- Canonical transformations
- Generating function
- Phase space dynamics
- Rigid body dynamics
- Central force motions.
- Symmetry, invariance and Noether’s theorem
- Hamilton-Jacobi theory
Electromagnetic Theory
- Gauss’s law and its applications
- Electric flux
- Charge density
- Electric field
- Potential
- Potential work energy
- Laplace and Poisson equations
- Boundary value problems
- Method of image
- Multipole expansion
- Capacitor ,polarization
- Interaction energy
- Oscillation
- Magnetostatics: Biot-Savart law, Ampere's theorem.
- Magnetic field
- Force of two I carrying con.
- Force and torque
- Vector potential
- Boundary condition
- Multipole expastion
- Magnetisation
- Interaction energy due to dipole
- Magnetic flux
- Electromagnetic induction
- Maxwell's equations and em wave in free space
- Linear isotropic media
- Dielectrics and conductors
- Dispersion relations in plasma
- e-m of em wave
- Pointing vector
- Momentum and energy
- Scalar and vector potentials, gauge invariance
- Lorentz invariance of Maxwell’s equation
- Retarded potentials.
- Radiation- from moving charges
- Transmission lines and wave guides
- Reflection and refraction
- Polarization
- Interference, coherence, and diffraction
- Transmission lines and wave guides
- Dynamics of charged particles in static and uniform electromagnetic fields
Quantum Mechanics
- Relativistic quantum mechanics-Klein-Gordon and Dirac equations
- Elementary theory of scattering
- WKB approximation
- Variational method
- Time independent perturbation theory
- Time dependent perturbation theory
- Identical particles
- Orbital angular momentum
- Spin system
- Harmonic oscillator
- Hydrogen atom
- Particle in a box1D 2D 3D
- Dirac delta, potential well, step
- Wave-function in coordinate and momentum representations
- Commutators
- Uncertainty principle position and momentum
- Orthogonality
- Equation of motion
Thermodynamics and Statistical Physics
- Laws of thermodynamics
- Work, adiabatic process
- Classius clapyron, jaule thamson
- Entropy
- Equipartion law
- Thermodynamics,
- Maxwell Potentials
- Cornot heat engine,refrigerator
- Maxwell relations,
- Mixing gas
- Partition functions. Free energy and its connection with thermodynamic quantities
- Classical and quantum statistics
- Ideal Bose
- Fermi gases
- Black body radiation
- Planck's distribution law
- Maxwell distribution law
- Classical H.O.
- Quantum H.O.
- ½ Spin in magnetic field
- Diamagnetism, paramagnetism, and ferromagnetism
- First- and second-order phase transitions
- Ising model
- Bose-Einstein condensation
- Diffusion equation
- Random walk
- Brownian motion
Electronics & Experimental Methods
- Semiconductor devices (diode zenor diode ,FET, transistor)
- Operational amplifiers and their applications
- Digital techniques logic gate
- Flip flop
- Registers,
- Counters,
- Comparators
- Decode
- Min. SOP,POS
- A/D and D/A converters
- Error analysis, propagation of errors
- Least squares fitting
- Opto electronic devices (solar cells, photo-detectors, LEDs)
- Transducers
- Filter
- Modulation
- Microprocessor and micro-controller basics
- lock-in detector, box-car integrator
Atomic & Molecular Physics
- Ground Symbol states of an electron in an atom
- H- Atom
- Hyperfine structure and
- isotopic shift,
- width of spectrum lines
- LS & JJ couplings
- Zeeman effects
- Paschen-Bach effects
- Stark effects
- Electron spin resonance.
- Nuclear magnetic resonance
- Frank-Condon principle
- Born-Oppenheimer approximation
- Potential interaction
- Molecular Physics
- Rotational spectra of diatomic molecules
- Vibration spectra of diatomic molecules l
- Raman spectra of diatomic molecules
- Electronics
- X-ray
- Lasers
- Einstein A & B coefficients
- Modes of resonators and coherence length
Condensed Matter Physics
- Bravais lattices. Reciprocal lattice
- Diffraction and the structure factor. Bonding of solids
- Elastic properties, phonons
- lattice specific heat. Free electron theory and electronic specific heat
- Drude model of electrical and thermal conductivity
- Hall effect and tharmoelectric power
- Electron motion in a periodic potential, band theory of solids
- Defects and dislocations
- Superconductivity: type-I and type-II superconductors. Josephson junctions.
Nuclear and Particle Physics
- Basic nuclear properties
- Binding energy, semi-empirical mass formula
- liquid drop model
- shell model
- Rotational spectra
- spin and parity
- Nuclear force
- Elementary ideas of alpha, beta and gamma decays and their selection rules
- Fission and fusion.
- Nuclear reactions, reaction mechanism, compound nuclei and direct
- Elementary particles and their quantum numbers
- Quark model
- Gellmann-Nishijima formula
- Reaction allowed/forbidden
- Relativistic kinematics.
