Shiksha Class – Admission Going On
📞 Contact: 7448878882 / 744887884
Unit I: Mathematical Physics
- Dimensional Analysis, ODEs and PDEs
- Vector Algebra and Calculus: Gradient, Divergence, Curl, Laplacian
- Theorems: Gauss, Green’s, Stokes’
- Matrices: Cayley-Hamilton Theorem, Eigenvalues, Eigenvectors
- Special Functions: Hermite, Bessel, Legendre; Beta and Gamma Functions
- Probability: Random Variables, Binomial, Poisson, Normal Distribution
- Complex Variables: Analytic Functions, Residues, Laurent Series
- Integral Transforms: Fourier Series, Fourier Transforms
Unit II: Classical Mechanics
- Mechanics of Systems: Generalized Coordinates, Constraints, Degrees of Freedom
- Lagrangian Formalism: Equations of Motion, D’Alembert’s Principle
- Applications: Pendulum, Atwood’s Machine, Oscillator, Circuits
- Hamiltonian Formalism: Canonical Transformations, Least Action Principle
- Rigid Body Dynamics: Euler’s Angles, Moment of Inertia, Euler’s Equations
- Special Relativity: Lorentz Transformations, Mass-Energy Relation, Time Dilation
Unit III: Electromagnetic Theory
- Electrostatics: Coulomb’s Law, Gauss’s Law, Laplace & Poisson Equations
- Magnetostatics: Biot-Savart, Ampere’s Law, Magnetic Potentials
- Maxwell’s Equations in Free Space and Media
- EM Waves, Poynting’s Theorem
- Dielectrics and Radiation: Polarization, Antennas, Transmission Lines, Waveguides
Unit IV: Quantum Mechanics
- Foundations: Black Body Radiation, Wave-Particle Duality
- Postulates of Quantum Mechanics, Schrodinger Equation
- Applications: Particle in Box, Harmonic Oscillator, Tunneling
- Operators and Spin: Angular Momentum, Hydrogen Atom, Stern-Gerlach
- Approximation Methods: Perturbation Theories, Fermi’s Golden Rule
- Relativistic Quantum Mechanics: Dirac and Klein-Gordon Equations
- Scattering Theory: Cross Section, Partial Wave Analysis, Breit-Wigner Formula
Unit V: Thermodynamics and Statistical Mechanics
- Laws of Thermodynamics, Processes and Potentials
- Entropy, Carnot Cycle, T-S Diagram
- Statistical Concepts: Phase Space, Ensembles, Partition Function
- Distributions: Maxwell-Boltzmann, Bose-Einstein, Fermi-Dirac
- Kinetic Theory of Gases: Mean Free Path, RMS Speed, Black Body Radiation
Unit VI: Atomic Physics and Spectroscopy
- Atomic Models: Hydrogen Spectrum, Spin-Orbit Coupling
- Spectroscopic Terms, Zeeman and Stark Effects
- Molecular Spectroscopy: Born-Oppenheimer Approximation, Selection Rules
- ESR, NMR, Frank-Condon Principle, Electronic, Vibrational, and Rotational Spectra
Unit VII: Solid State Physics
- Crystal Physics: Lattice Types, Bravais Lattices, Miller Indices
- Lattice Dynamics, Specific Heat: Einstein and Debye Models
- Free Electron Theory: Drude Model, Wiedemann-Franz Law
- Band Theory: E-k Diagram, Density of States, Brillouin Zones
- Semiconductor Physics: Carrier Concentration, Kronig-Penney Model
- Dielectrics and Magnetism: Polarization, Ferroelectricity, Superconductivity
Unit VIII: Nuclear and Particle Physics
- Nuclear Structure: Binding Energy, Shell Model, Liquid Drop Model
- Nuclear Reactions: Fission, Fusion, Decay Processes
- Elementary Particles: Baryons, Mesons, Quarks, Quantum Numbers
- Fundamental Interactions, Yukawa Theory, Gell-Mann–Nishijima Formula
Unit IX: Electronics
- Semiconductors: Diodes, Zener, LEDs
- Transistors: CB, CE, CC Configurations, Amplifiers, Oscillators
- IC Fabrication, 555 Timer, Oscillators
- Op-Amps (IC 741): Inverting/Non-Inverting, Adder, Subtractor
- Digital Electronics: Logic Gates, Flip Flops, Counters, Adders
- Communication: Modulation/Demodulation, Satellite, Fiber Optics
Unit X: Experimental Physics
- Measurement: Units, Dimensions, Significant Figures
- Error Analysis: Data Interpretation, Least Squares Method
- Detection: X-rays, Gamma Rays, Charged Particles, Neutrons
- Instrumentation: e/m Ratio, Hall Effect, Resistance and Capacitance Measurement
Shiksha Class – PGTRB Physics Coaching 2025
📞 Contact: 7448878882 / 744887884
Download PGTRB Physics Syllabus PDF
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