Leonard Susskind concludes the course by wrapping up the major concepts that were covered throughout the quarter and discussing some of the limits of the field of quantum physics. He begins the final lecture of the course by deriving the uncertainty principle from the triangle inequality. He then shows the correspondence between the motion of wave packets and the classical equations of motion. The expectation value of position for the center of a wave packet follows the classical equations. Heavy particles have wave packets which do not spread out over time. Topics: - Derivation of the uncertainty principle - Using the Schrödinger equation to derive the classical equations of motion for a wave packet - Wave packets - Under what conditions does a wave packet remain localized? Recorded on March 19, 2012.

1. Introduction to Quantum Mechanics
2. The Basic Logic of Quantum Mechanics
3. Vector Spaces and Operators
4. Time Evolution of a Quantum System
5. Heisenberg Uncertainty Principle & The Schrödinger Equation
6. Entanglement: Entangled, Singlet, & Triplet States
7. Entanglement and the Nature of Reality
8. Particles Moving in One Dimension and their Operators
9. Fourier Analysis applied to Quantum Mechanics
10. The Uncertainty Principle and Classical Analogs

Quantum theory governs the universe at its most basic level. In the first half of the 20th century physics was turned on its head by the radical discoveries of Max Planck, Albert Einstein, Niels Bohr, Werner Heisenberg, and Erwin Schroedinger. An entire new logical and mathematical foundation—quantum mechanics—eventually replaced classical physics. We will explore the quantum world, including the particle theory of light, the Heisenberg Uncertainty Principle, and the Schrödinger Equation. This course is second-part of a six course sequence given by Prof. Leonard Susskind that explores the theoretical foundations of modern physics - the Theoretical Minimum. Topics in the series include classical mechanics, quantum mechanics, theories of relativity, electromagnetism, cosmology, and black holes.