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

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

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