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Physical Sciences
Atomic & Molecular Physics
Atoms and Molecules
Bohr's Theory of Hydrogen Atom
Vector Atom Model
Stern-Gerlach Experiment
Spectra of Alkali
Spectra of Alkaline Elements
Zeeman Paschen-Back & Stark Eff.
X-Ray Spectra
Types of Molecular Spectra
Far Infrared Spectroscopy
Near Infrared Spectroscopy
UV and Visible Spectroscopy
Raman Spectra
Elements of Masers and Lasers
Mathematical Methods: Basics
Vector Algebra
Orthogonal Curvilinear Coordinate
Gamma & Beta Function
Theory of Errors
Laurent & Fourier Series
First Order DEs
Cauchy-Euler Equations
Calculus of Variation
Functions of Complex Variable
Calculus of Residues
Series Solution of 2nd Order DE
Legendre's Function
Algebra of Matrices
Eigenvalues & Eigenvector
First Order Lagrange's DE
Partial DEs of Second Order
Integral Transforms
Laplace Transforms
Dirac-Delta Function
Tensor Analysis
Mathematical Methods: Advanced
Ordinary Differential Equations
Linear Algebra
Fourier Analysis
PDES
Complex Numbers and Functions
Power and Taylor Series
Laurent Series
Complex Analy. & Potential Theory
Numerics in General
Probability
Classical Mechanics
Newtonian Mechanics
Lagrangian Dynamics
Hamiltonian Dynamics
Two-Body Central Force Problem
Variational Principles
Canonical Transformation
Brackets and Liouville's Theorem
Hamilton-Jacobi Theory
Small Oscillators & Normal Modes
Dynamics of a Rigid Body
Rotating Coordinate System
Lorentz Transformations
Relativistic Mechanics
Minkowski Space
Covariant Formulation of EM
Nonlinear Dynamics and Chaos
Condensed Matter Physics
Crystal Structure
X-Ray Diffraction
Reciprocal Lattice
Bonding in Solids
Lattice Vibration
Free Electron Theory of Metals
Band Theory of Solids
Semiconductors
Magnetism in Solids
Dielectric Properties of Solid
Superconductivity
Electronic & Experimental Methods
Digital Principles
Digital Logic
Combinational Logic Circuits
Data-Processing Circuits
Number Systems and Codes
Arithmetic Circuits
Clocks and Timing Circuits
Flip-Flops
Registers
Counters
Design of Sequential Circuits
D/A Conversion and A/D Conversion
Digital Integrated Circuits
Applications
Quantum Mechanics
Wave Function
Time-Independent Schrodinger Eq.
Formalism
Quantum Mechanics in 3D
Identical Particles
Perturbation Theory
Variational Principle
WKB Approximation
Adiabatic Approximation
Scattering
Thermodynamic Statistical Physics
Micro-to-Macroscopic Behavior
Thermodynamic Concepts
Concept of Probability
Statistical Mechanics
Magnetic Systems
Non Interacting Particle Systems
Thermodynamic Relation & Process
Classical Gases and Liquids
Critical Phenomena
Many-Body Perturbation Theory
Nuclear & Particle Physics
Properties of Atomic Nucleus
Alpha Particles
Beta-Decay
Gamma Radiation
Nuclear Forces
Nuclear Models
Nuclear Reactions
Nuclear Fission and Fusion
Elementary Particles
Electromagnetic Theory
Vector Analysis
Electrostatics
Special Techniques
Electric Fields in Matter
Magnetostatics
Magnetic Fields in Matter
Electrodynamics
Conservation Law
Electromagnetic Waves
Potential and Fields
Radiation
Electrodynamics and Relativity