Joint Entrance Screening Test 2020 (JEST) is considered to be a National Eligibility Test (NET) by Science and Engineering Research Board (SERB).

Candidates who are seeking admission in Ph.D. or Integrated Ph.D. program in Physics or Theoretical Computer Science or Neuroscience or Computational Biology need to give JEST exam. NISER Bhubaneshwar was the organizing institute of JEST 2020.

Syllabus of the JEST Entrance Exam 2020

Physics:

Mathematical Methods: Analytic function, Classical orthogonal polynomials, Vector algebra and vector calculus, Linear ordinary differential equations

Electromagnetic Theory: Displacement Current, Methods of Solving Boundary Value Problems, Poynting Theorem, Radiation from Moving Charges, Scalar and Vector Potentials

Classical Mechanics: Generalized coordinates, Newton’s laws, Principle of least action, Central force problem, Symmetry, and conservation law

Quantum Mechanics: Addition of Angular Momenta, the Bound States and Tunnelling, The Uncertainty Principle, Particle in A Box,

Solid State Physics: Elements of superconductivity, Metals, Simple crystal structures and X-ray diffraction, Semiconductors and insulators

Thermodynamics and Statistical Physics: Work and heat, Laws of thermodynamics, Harmonic oscillators

Electronics: Operational amplifiers and their applications, Transistors, and field-effect devices, Diodes, Device characteristics

Atomic and Optical Physics: Hyperfine structure, Diffraction, and polarization of light, Interference, Zeeman and Stark effects

Nuclear and Particle Physics: Conservation laws in particle reactions, Classification of elementary particles and fundamental interactions, Structure of the nucleus, Elementary ideas of quark mode

Experimental data and error analysis: Gaussian and Poisson distributions, Probability theory, Error analysis, Significant figures, Propagation of errors, Least-square fitting

Theoretical Computer Science

Discrete Mathematical Structures with Applications to Computer Science; Elements of Discrete Mathematics; Compilers: Principles, Techniques, and Tools; An Introduction to Data Structures with Applications; Fundamentals of Data Structures; Fundamentals of Computer Algorithms; Introduction to Algorithms; The Design and Analysis of Computer Algorithms

Mathematical Methods

• Vector Algebra and Vector Calculus
• Tensors
• Curvilinear Coordinate Systems
• Linear Algebra
• Linear Differential Equations
• Elements of Sturm–Lowville Theory
• Special Functions
• Complex Analysis
• Fourier Series and Fourier Transforms
• Laplace Transforms
• Elementary Properties of Discrete Groups
• Elements of Probability Theory
• Error Analysis

Classical Mechanics

• Newton’s Laws
• Conservation of Energy and Momentum
• Collisions
• Generalized Coordinates
• Principle of Least Action
• Lagrangian and Hamiltonian Formulations of Mechanics
• Symmetry and Conservation Laws
• Central Force Problem
• Kepler Problem
• Small Oscillations and Normal Modes
• Special Relativity in Classical Mechanics

Electromagnetism & Optics

• Electrostatics and Magnetostatics
• Boundary Value Problems
• Multipole Expansion
• Fields in Conducting
• Dielectric
• Diamagnetic and Paramagnetic Media
• Faraday’s Law and Time-Varying Fields
• Displacement Current
• Maxwell’s Equations
• Energy and Momentum of Electromagnetic Fields
• Propagation of Plane Electromagnetic Waves
• Reflection, Refraction
• Electromagnetic Waves in Dispersive And Conducting Media
• Diffraction
• Interference
• Polarization

Quantum Mechanics

• Uncertainty Principle
• Schrodinger Equation
• Central Potentials
• Hydrogen Atom
• Orbital and Spin Angular Momenta
• Addition of Angular Momenta
• Matrix Formulation of Quantum Theory
• Unitary Transformations
• Hermitian Operators
• Variational Principle
• Time-Independent Perturbation Theory
• Time-Dependent Perturbation Theory

Thermodynamics & Statistical Physics

• Laws of Thermodynamics
• Work and Heat
• Thermodynamic Potentials
• Elements of Kinetic Theory
• Maxwell’s Relations
• Statistical Ensembles
• Partition Function
• Classical Ideal Gas
• Harmonic Oscillators
• Classical and Quantum Statistics
• Fermi and Bose Gases
• Black Body Radiation
• Statistics of Paramagnetism

Electronics

• Basics of Semiconductor
• p-n Junctions
• Diodes
• Transistors
• LCR Circuits
• Rectifiers
• Amplifiers
• Active Filters and Oscillators
• Basics of OPAMPS and their Applications
• Basics of Digital Electronics

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