Quantum Mechanics 1

Posted by aj.arifi on November 16, 2024

Quantum mechanics is the foundation of modern physics, offering insights into the behavior of matter and energy at microscopic scales. To navigate this fascinating field, I’ve structured an introductory series of lectures for undergraduate students, focusing on key concepts and problem-solving approaches. Whether you’re just starting out or brushing up, this guide can help.

Here’s a breakdown of topics, recommended resources, and links to supplemental material.

Lectures

Part 1: Introduction

  • Wave Function

Part 2: Time-Independent Schrodinger Equation

  • Stationary states
  • The infinite Square well
  • The harmonic oscillator
  • The free particles
  • The delta function potential
  • The finite square well
  • The scattering matrix

Part 3: Formalism in Quantum Mechanics

  • Linear Algebra
  • Function space
  • The uncertainty principle

Part 4: Quantum Mechanics in Three Dimensions

  • Schrodinger equation in spherical coordinate
  • Hydrogen atom

Part 5: Theory of Angular Momentum

  • Angular momentum
  • Spin 1/2 and electron in magnetic field
  • Addition of angular momentum

Books

  • D. Griffiths. Introduction to Quantum Mechanics.
  • W. Greiner. Quantum Mechanics: An introduction.