Physical Sciences

Atomic & Molecular Physics

Atoms and Molecules

Bohr's Theory of Hydrogen Atom

Vector Atom Model

Spectra of Alkali

Zeeman Paschen-Back & Stark Eff.

Near Infrared Spectroscopy

Elements of Masers and Lasers

Mathematical Methods: Basics

Vector Algebra

Laurent & Fourier Series

First Order DEs

Cauchy-Euler Equations

Calculus of Variation

Algebra of Matrices

Integral Transforms

Laplace Transforms

Mathematical Methods: Advanced

Complex Numbers and Functions

Power and Taylor Series

Complex Analy. & Potential Theory

Classical Mechanics

Newtonian Mechanics

Lagrangian Dynamics

Hamiltonian Dynamics

Two-Body Central Force Problem

Variational Principles

Brackets and Liouville's Theorem

Hamilton-Jacobi Theory

Small Oscillators & Normal Modes

Dynamics of a Rigid Body

Lorentz Transformations

Nonlinear Dynamics and Chaos

Quantum Mechanics

Wave Function

Time-Independent Schrodinger Eq.

Quantum Mechanics in 3D

Identical Particles

Perturbation Theory

Variational Principle

WKB Approximation

Scattering

Electromagnetic Theory

Electrostatics

Special Techniques

Electric Fields in Matter

Electrodynamics

Electromagnetic Waves

Potential and Fields

Radiation

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