On December 11, 2020, Kerala PSC invited applications from eligible candidates towards the Assistant Professor: Physics position for Kerala Collegiate Education. Candidates below 40 years with Masters degree and NET qualification in Physics can now apply towards this post till January 15, 2021. PSC will conduct a written test across Kerala to select candidates towards this position. Here we are discussing the Kerala PSC Assistant Professor Physics, written exam syllabus in detail.
Kerala PSC Assistant Professor Syllabus: Physics
Constraints and Generalized coordinates, D’Alemberts principle and Lagrange’s equation, Velocity dependent
potentials, Hamilton’s Principle, Lagrange’s equation from Hamilton’s Principle, Kepler problem, Hamilton
-Jacobi equation, Hamilton‟s principal and characteristic function, H-J equation for the linear harmonic
oscillator, Euler angles, Centrifugal and Coriolis forces, Nonlinear oscillations, Limitcycles, Chaos – Logistic
Mathematical methods and Group theory
Properties of Fourier series, Fourier integral, Fourier transform, Gamma function, Beta function, Delta
function, Bessel functions of the first and second kinds, Neumann function, Spherical Bessel function,
Legendre polynomials, Generating function, Recurrence relation, Rodrigues formula, Orthogonality,
Associated Legendre polynomials, Spherical harmonics, Hermite polynomials, Laguerre polynomials, CauchyReimann conditions, Cauchy’s integral theorem and integral formula, Laurent expansion, Singularities,
Calculus of residues and applications.
Biasing of Field effect Transister (FET), FET as VVR and its applications, Photodetectors – Light-dependent resistor- photodiode, p-n junction solar cells, Basic operational amplifier characteristics, differential amplifier, OPAMP parameters, OPAMP as the inverter, Analog integration
and differentiation, Electronic analogue computation, Active low pass filter, High pass Butterworth filters, Bandpass filter, OPAMP based astable and monostable multivibrators, Schmidt trigger. Amplitude modulation
and demodulation circuits, Comparison of signal to noise ratios, Pulse code modulation, Communications
receivers, FM transmitters, VHF/UHF systems, Microwave systems, Satellite communications.
Vector spaces, The Hilbert space, Operators and its properties, Angular momentum operators, Matrix
representation of angular momentum operators, Pauli spin matrices, Orbital angular momentum, differential
and total cross-section, optical theorem, Harmonic perturbation, Interaction of an atom with the
electromagnetic field, Induced emission and absorption, Anharmonic oscillator, Stark and Zeeman effects in
hydrogen, Hole theory, The Weyl equation. The Klein-Gordon equation, Charge and current densities.
Kerala PSC Assistant Professor Syllabus: Statistical Mechanics
The entropy of mixing and Gibbs paradox – Phase space of a classical system – Liouville’s theorem and its
consequences, Equipartition theorem – Virial theorem – The density matrix, Thermodynamic behaviour of an
ideal Bose gas, Thermodynamic behaviour of an ideal Fermi gas- Magnetic behaviour of an ideal Fermi Gas
: (1) Pauli paramagnetism, (2) Landau diamagnetism.
Nuclear and Particle Physics
Nuclear size, shape, mass and binding energy, semi-empirical mass formula Characteristics of nuclear forces,
spin-orbit potential, electric quadrupole moments, parity violation in beta decay, internal conversion.
Conservation laws and symmetries, Quark model, The eightfold way, quantum chromodynamics and gluons. ,
Fick‟s law and its validity, Shell structure and magic numbers, Single crystal and Powder diffraction,
Scherrer equation, Debye-Scherrer Camera, Applications of XRD.
Solid State Physics
Miller indices, Reciprocal lattice, Brillouin zones, Einstein and Debye models of specific heat, Nearly free
electron model and formation of energy bands, Bloch functions, Kronig Penny model, Dielectric constant,
Local Electric field, Ferroelectric domain, Antiferroelectricity, Piezoelectricity, Langevin‟s theory of
diamagnetism, Weiss theory of ferromagnetism, Neel Model of Antiferromagnetism, Type I and Type II
superconductors, energy gap Isotope effect, London equation, Cooper pairs, High Tc Superconductors,
Atomic and Molecular Spectroscopy
The spectrum of the non-rigid rotator, Born –Oppenheimer approximation, Normal modes and vibration of H2O
and CO2, Rotational Raman Spectrum of Symmetric top molecules, stimulated Raman effect and Inverse
Raman Effect. Vibrational Analysis of band systems, Deslander’s table, Interaction of nuclear spin and
the magnetic field, Larmour precession, Mossbauer Spectroscopy, Resonance fluorescence of γ-rays.
Kerala PSC Assistant Professor Physics: Microprocessor
Organization of microcomputers, microprocessor as CPU, Addition, Subtraction of two 8 bit & 16-bit numbers,
Organization and internal architecture of the Intel 8085, Timings of Intel 8085, Data transfer schemes of Intel
8085, Applications of Microprocessors, Analog to Digital converter, Clock for A/D conversion, Sample
and Hold circuit, Analog multiplexer and Overview of 8051 microcontrollers.
Lasers and fibre Optics
Einstein coefficients, Line-broadening mechanisms, Q-Switching, Mode locking, Four-level solid-state
lasers, CO2 lasers, Dye lasers, Semiconductor lasers, Spatial frequency filtering and holography, Second
Harmonic Generation. Acceptance angle of Optical Fibre, Numerical aperture of optical fibre, Step-index
fibres, Graded index fibres. Attenuation in optical fibres, Absorption losses, Leaky modes, Radiation-induced
losses, Inherent defect losses.
Assistant Professor of Physics Syllabus Pdf
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